factorize
8x^3 + 20x^2y - 50xy^2 - 125y^3
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Step-by-step explanation:
8x^3 + 20x^2y - 50xy^2 - 125y^3
= 4x^2( 2x + 5y) - 25y^2( 2x+ 5y)
= (2x+y) (4x^2- 25y^2)
=(2x+y) [(2x)^2 - (5y)^2]
= (2x+y) (2x+ 5y) ( 2x-5y) (using identity a^2-b^2=(a-b)(a+b)
= (2x+y)(2x+5y)(2x-5y)
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