Question

Divide using factorization (4x(sq)2y(sq)2+36xy(sq)2+81y(sq)2)(2x+9)​

Answer 1

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Answer 2

Given :

Divide (4x²y² + 36xy² + 81y²) by (2x + 9)

Solution :

Factorize the given dividend

= 4x²y² + 36xy² + 81y²

= y²(4x² + 36x + 81)

= y²(2x + 9)²

Divide the factorized equation by the given divisor

= y²(2x + 9)²

    (2x + 9)

= y²(2x + 9)

Therefore quotient is y²(2x + 9)