Question

Simplify using suitable identity :
(3x - 5y - 4)(9x2 + 25y2 + 16 + 15xy - 20y + 12x)
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Answer 1

Answer:

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) [a³ + b³ + c³ - 3abc = (a + b + c) (a² + b² + c² -ab - bc - ca)]

= 27x³ - 125y³ - 64 - 180xy

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

(3x-5y-4)(9x^2+25y^2+(4)^2[-2{(3x)(-5y)+(-5y)(-4)+(-4)(3x)}]

=(3x-5y-4)(3x-5y-4)^2

=(3x-5y-4)(3x-5y-4)(3x-5y-4)