Question

$\huge \sf \: i)32x^4 + 12x^3y - 5x^2y^2$
$\huge \sf \: ii)a^2- b^2 - 10bc - 25c^2$

Please solve this 2 numbers.⬆️

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Answer 1

Answer:

1) x²(4x-y)(8x+5y)

2) (a+b+5c)(a-b-5c)

Step-by-step explanation:

1) 32x⁴+12x³y-5x²y²

= x²(32x²+12xy-5y²)

= x²(32x²+20xy-8xy-5y²)

= x²(32x²-8xy+20xy-5y²)

= x²[8x(4x-y)+5y(4x-y)]

= x²(4x-y)(8x+5y)

2) a²-b²-10bc-25c²

= a²-(b²+10bc+25c²)

= a²-[(b)²+2*b*5c+(5c)²]

= a²-(b+5c)²

= (a+b+5c)(a-(b+5c))

= (a+b+5c)(a-b-5c)

using formula x²-y² = (x+y)(x-y)

x²+2xy+y² = (x+y)²

Answer 2

Answer:

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