(vi) 4x^2 12xy 9y^2 – 9 Solution (i) The given expression is 25a^2 – 36a^2b^2 We can write it as (5a)^2 – (6ab)^2 Factor out the common term from the above expression That is, a^2(5)^2 – (6b)^2 By comparing the above expression, it matches with the basic expression (a)^2 – (b)^2 = (a b) (a – b)⇒ 15x 2 – 12xy – 9x – 25xy y 2 15y 10x – 8y – 6 ⇒ 15x 2 – 12xy – 25xy – 9x 10x y 2 15y – 8y 6 ⇒ 15x 2 – 37xy x y2 7y – 6Simplify (3x2y)^2 (2x3y)^2 \square!
Ex 2 5 5 I Factorise 4x 2 9y 2 16z 2 12xy 24yz 16xz
4x^2+12xy+9y^2 x=-2 y=2
4x^2+12xy+9y^2 x=-2 y=2-1)4x^212xy9y^2= ( x y) ( x Y) possible factors for 4 1,2,4 (2x y) (2x y) possible factors for 12 1,2,3,4,6,12 and possible factors for 9 1,3,9 (2x3y) (2x3y)$$ 2x^2 12xy 3y^2 = 150$$ Which I can then convert to $$ 12xy = 150 2x^2 3y^2$$ I'm pretty sure I then just need to convert $4x^2 9y^2 = 100$ into the form of $2x^2 3y^2 = \text{?}$, but I'm not sure how you can, because I don't think you can just take the square root of $4x^2 9y^2 = 100$
Further Algebra
{eq}(2x3y)^2= 4x^212xy9y^2 {/eq} Become a member and unlock all Study Answers Try it riskfree for 30 days Try it riskfree Ask a question Our experts canSince most of the short and simple methods are already shown, we'll go a long route, but an interesting one!Yashjain1230 yashjain1230 Math Secondary School answered Factorise 4 x^2 12xy 9y^2 2 See answers KshitijAgarwal KshitijAgarwal 4x^212xy9x^2 it is solved by an identity (2x)^2 2*2x*3y(3y)^2 (2x3y)^2 Its correct answer ya so can uh explain?
1 Solution Given 4x 2 12xy 9y 2 2gx 2fy c = 0 (i) Comparing (i) with general equation, ax 2 2hxy by 2 2gx 2fy c = 0 We get a = 4, h = 6, b = 9, We know that ax 2 2hxy by 2 2gx 2fy c = 0 represents a pair of straight lines if abc 2fgh – af 2 – bg 2 – ch 2 = 0A) \(\left(2x3y\right)^2=4x^212xy9y^2\) b) \(\left(x^2\dfrac{2}{5}y\right)\left(x^2\dfrac{2}{5}y\right)=\left(x^2\right)^2\left(\dfrac{2}{5}y\right)^2\) \(=x^4Phân tích đa thức 4x^2 12xy 9y^2 25 thành nhân tử Phân tích nhân tử a) 4x2 12xy 9y2 25 b) x3 3x2 3x 1 c) a6 a4 2a3 2a2 Theo dõi Vi phạm YOMEDIA Toán 8 Bài 8 Trắc nghiệm Toán 8 Bài 8 Giải bài tập Toán 8 Bài 8
Question 1 Use factorization to find the square root of the following expressions (i) 4x2 −12xy9y2 4 x 2 − 12 x y 9 y 2 (ii) x2 −1 1 4x2,(x≠ 0) x 2 − 1 1 4 x 2, ( x ≠ 0) (iii) 1 16x2 − 1 12xy 1 36y2 1 16 x 2 − 1 12 x y 1 36 y 2 (iv) 4(ab)2 −12(a2 −b2)9(a−b)2 4 ( a b) 2 − 12 ( a 2 − b 2) 9 ( a − b) 223 জুন, 21 এ উত্তর দেওয়া হয়েছে জ্বী, আপনার দেয়া প্রশ্নটির উৎপাদকে বিশ্লেষণ 4x^2–12xy9y^2–16z^2 = (2x)^2–2*2x*3y (3y)^2–16z^2 = (2x3y)^2 (4z)^2 = (2x3y4z) (2x3y4z) 119 বার দেখা হয়েছে Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries
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Equations Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations 4x^212xy^29y^4 so that you understand better4x^212xy9y^2 tại x=2, y=2 nmdang is waiting for your help Add your answer and earn pointsAnswer by ehollins1 (8) ( Show Source ) You can put this solution on YOUR website!
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Consider 4 x 2 1 2 x y 9 y 2 − 8 x − 1 2 y as a polynomial over variable x Find one factor of the form kx^ {m}n, where kx^ {m} divides the monomial with the highest power 4x^ {2} and n divides the constant factor 9y^ {2}12y One such factor is 2x3y Factor the polynomial by dividing it by this factor Find one factor of the form k x m n, where k x m divides the monomial with the highest power 4 x 2 and n divides the constant factor 9 y 2 − 1 2 y2xy9x^2 (2yx^21) (dy)/ (dx)=0, y (0)=3 \square!Factorise 4x 2 9y 2 16z 2 12xy – 24yz – 16xz Advertisement Remove all ads Solution Show Solution It is known that, (x y z) 2 = x 2 y 2 z 2 2xy 2yz 2zx
Ex 4 1 Q10 If 2x 3y 8 And Xy 2 Find The Value Of 4x 2 9y 2
Simplify 7x 3 8y 3 4x 3y 16x 2 12xy 9y 2
12xy 24yz 16xz This can be rewritten as (2x)²Answer (1 of 7) Well, this is a secound degree double variable equation and we know it's a conic But we can't just say what it is!I'm assuming that the expression is really If not, then let me know Looking at we can see that the first term is and the last term is where the coefficients are 4 and 9 respectively Now multiply the first coefficient 4 and
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4x^212xy9y^28x12y factorize Share with your friends Share 0 4 x 2 12 x y 9 y 28 x12 y = (4 x 2 12 x y 9 y 2)(8 x 12 y) = (2 x) 2 20, then the lines are real and distinct If h 2 – ab = 0, then the lines are real and coincident If h 2 – ab <Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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2ab 2bc 2ca to solve the following i) 4x²4x^212xy9y^2 imagem acima Receba agora as respostas que vocêPhân tích đa thức sau thành nhân tử a) x^2 yz x^3 Y^3 z xyz^2 b) 4x^3 24x^212xy^2 c) x^2(mn)3y^2(mn) d) 4x^2(xy)9y^2(yx)
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2) g = 2, f = 3, c = 1 3) g = 2, f = 3, c is any number 4) g = 4, f = 9, c >16x 2 24xy9y 2 12x9y10 16a 216ab4b 2 24a12b9 36x 212xyy 2 48x8y164x 2 y 2 8y16 25x 24y 2 4y1 a 29b 28a16 学習 コンテンツ 練習問題 各単元の要点 pcスマホ問4x12xy9y^2 thank you Answer by jim_thompson5910 () ( Show Source ) You can put this solution on YOUR website!
The Equation 4x 2 12xy 9y 2 2gx 2fy C 0 Will Represents Two Real Partall Straight Youtube
Further Algebra
求过圆x^2＋y^2－4x＋2y＝0和x^2＋y^2－2y－4＝0的交点，且圆心在直线2x＋4y－1＝0上的圆的方程。 3个回答 #热议# "嘴硬心软"和"嘴软心硬"的女孩，哪个过得更好？Factorise (x 2x) 24(x 2x)−12 The area of a square is 9 x 2 2 4 x y 1 6 y 2 Find the side of the squareConsider 4x^ {2}12xy9y^ {2}2x3y as a polynomial over variable x Find one factor of the form kx^ {m}n, where kx^ {m} divides the monomial with the highest power 4x^ {2} and n divides the constant factor 9y^ {2}3y One such factor is 2x3y Factor the polynomial by dividing it
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4 Find the absolute maximum and minimum values of the function f(x,y) = xy on the ellipse 9x 2 4y 2 = 36 5 The production function for a candy manufacturer is f(x,y) = 4x xy 2y where x is the number of units of labor and y is the number of units of capitalFactorise the following using appropriate identities (i) 9x 2 6xy y 2 (ii) 4y 2 – 4y 1 (iii) x 2 – 1 / 100y 2 Solution (i) 9x 2 6xy y 2 =(3x) 2 2The answer is 4x^212xy9y^2 First, we begin by setting it in the form of (2x3y)(2x3y) Using FOIL, we multiply the first term with the outer and inner term of (2x)(2x3y) If done right, you should arrive to the answer of 4x^26xy Now we do the same for the last term of the first part so (3y)(2x3y)
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Learn how to solve polynomial factorization problems step by step online Factor the expression 4x^212x*y9y^2 The trinomial 4x^212xy9y^2 is a perfect square trinomial, because it's discriminant is equal to zero Using the perfect square trinomial formula Factoring the perfect square trinomialFactorise (i) 4x^2 9y^2 16z^2 12xy – 24yz – 16xz asked in Polynomials by Sunil01 (676k points) polynomials;Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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Alinefonsecasantos6 alinefonsecasantos6 Matemática Ensino médio (secundário) respondido 4x^212xy9y^2 imagem acima 2 Ver respostas Anúncio Anúncio fanaclara665 fanaclara665 RespostaFactorise 4x^2 9y^2 16z^2 12xy 24 yz 16xz ← Prev Question Next Question (x y z) 2 = x 2 y 2 z 2 2xy 2yz 2zx ← Prev Question Next Question → Related questions 0 votes 1Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange
The Equation 4x 2 12xy 9y 2 2gx 2fy C 0 Will Represents Two Real Partall Straight Lines If
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Aprende en línea a resolver problemas de factorización de polinomios paso a paso Factorizar la expresión 4x^212x*y^29y^4 El trinomio 4x^212xy^29y^4 es un trinomio cuadrado perfecto, ya que su discriminante es igual a cero Utilizamos la relación del trinomio cuadrado perfecto Factorizamos el trinomio cuadrado perfecto2x3y=7 ( 4x^212xy9y^218 )( 70 ) A)The quantity in Column A is greater B)The quantity in Column B is greater C)The two quantities are equal D)The relationship cannot be determined from the information given KUDOS for the right solution andTìm x ,y 4x^212xy=9y^2 HOC24 Lớp học Lớp học Tất cả Lớp 12 Lớp 11 Lớp 10 Lớp 9 Lớp 8 Lớp 7 Lớp 6 Lớp 5 Lớp 4 Lớp 3 Lớp 2 Lớp 1 Hỏi đáp
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Chapter Solutions
Click here👆to get an answer to your question ️ Factorise(i) 4x^2 9y^2 16z^2 12xy 24yz 16xz (ii) 2x^2 y^z 8z^2 2√(2) xy 4√(2) yz 8xzAprende en línea a resolver problemas de factorización de polinomios paso a paso Factorizar la expresión 4x^212x*y9y^2 El trinomio 4x^212xy9y^2 es un trinomio cuadrado perfecto, ya que su discriminante es igual a cero Utilizamos la relación del trinomio cuadrado perfecto Factorizamos el trinomio cuadrado perfectoFactorise 4 x^2 12xy 9y^2 Get the answers you need, now!
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Bài 4a, Tìm GTLN\(Q=x^2y^24x4y2\)b, Tìm GTLN\(A=x^26x5\)\(B=4x^29y^24x6y3\)c, Tm GTNN\(P=x^2y^22x6y12Factorise (i) 4x 2 9y 2 16z 2 12xy – 24yz – 16xz (ii) 2x 2 y 2 8z 2 – 2√2 xy 4√2 yz – 8xz Solution We will be using the algebraic identity (a b c)²4x^2 12xy 9y^2 , factor completely
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= (4x) 2 16x (2) 2 → Cocok dengan pola rumus, bisa dilanjutkan / / / a 2ab b = (4x 2)(4x 2) c) 4x 2 12xy 9y 2 = (2x) 2 12xy (3y) 2 → Cocok dengan pola rumus, bisa dilanjutkan / / / a 2ab b = (2x 3y)(2x 3y) Soal No 6 Faktorkan bentukbentuk aljabar berikut ini a) x 2 − 10x 25Given 4x 2 12xy 9y 2 = 0 We know that for a pair of straight lines given by ax 2 2hxy by 2 = 0, If h 2 – ab >Factorizar 4x^212xy9y^2 Reescribe como Reescribe como Verificar el término medio multiplicando y comparando el resultado con el término medio de la expresión original Simplifica Factorizar utilizando la regla del trinomio del cuadrado perfecto, , donde y Cookies y Privacidad
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