8x^2y^2 x^5=x^2 (8y^3 x^3) = x^2 [(2y)^3 (x)^3] = x^2 [(2y x ) (2y)^2 +2y × x + (x)^2] = x^2 (2y x ) (4y^2 + 2xy +x^2) ...

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Algebraic Identities

Factorize 8x2...

Question

Factorize $8 x^{2} y^{2} - x^{5}$

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Solution

$8 x^{2} y^{2} - x^{5} = x^{2} (8 y^{3} - x^{3}) = x^{2} [(2 y)^{3} - (x)^{3}] = x^{2} [(2 y - x) (2 y)^{2} + 2 y \times x + (x)^{2}] = x^{2} (2 y - x) (4 y^{2} + 2 x y + x^{2})$

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