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(x±a)(x±b) = x²±(a+b)x+ab.

Multiply 9 x2...

Question

Multiply 9x²+25y²+15xy+12x-20y+16 by 3x-5y-4 using suitable identity

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Solution

(3x-5y-4) (9x²+25y²+15xy+12x-20y+16)
⇒ (3x-5y-4) (9x²+25y²+16+15xy-20y+12x)
⇒ {3x + (-5y) + (-4)} {(3x)² + (-5y)² + (-4)² - (3x) (-5y) - (-5y) (-4) - (-4) (3x)}
⇒ (3x)³ + (-5y)³ + (-4)³ - 3 (3x) (-5y) (-4)
[As we know a³ + b³ + c³ - 3abc = (a + b + c) (a² + b² + c² -ab - bc - ca)]
= 27x³ - 125y³ - 64 - 180xy

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Similar questions

Q. Find the product:
(3x – 5y + 4) (9x² + 25y² + 15xy − 20y + 12x + 16)

Q. Multiply:
(i) x² + y² + z² − xy + xz + yz by x + y − z

(ii) x² + 4y² + z³ + 2xy + xz − 2yz by x − 2y − z

(iii) x²+ 4y² + 2xy − 3x + 6y + 9 by x − 2y + 3

(iv) 9x² + 25y² + 15xy + 12x − 20y + 16 by 3x − 5y + 4

(i) $x^{2} + y^{2} + z^{2} - x y + x + y z by x + y - z$

(ii) $x^{2} + 4 y^{2} + z^{2} + 2 x y + x z - 2 y z by x - 2 y - z$

(iii) $x^{2} + 4 y^{2} + 2 x y - 3 x + 6 y + 9 by x - 2 y + 3$

(iv) $9 x^{2} + 25 y^{2} + 15 x y + 2 x - 20 y + 16 by 3 x - 5 y + 4$

9 x^{2} + 25 y^{2} = 181 a n d x y = - 6

find 3x + 5y = ?

3 x + 5 y = 11

x y = 2

, find the value of

9 x^{2} + 25 y^{2}

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(x±a)(x±b) = x²±(a+b)x+ab.

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