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