Question

factorize 512x^3 - 125y^3
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Answer 1

Answer:

512x³ - 125y³ = (8x - 5y)(64x² + 40xy + 25y²)

Step-by-step explanation:

512x³ - 125y³

512 = 8³

125 = 5³

=> (8x)³ - (5y)³

Formula to be noted:

a³ - b³ = (a - b)(a² + ab + b²)

Let a = 8x & b = 5y

=> (8x)³ - (5y)³ = (8x - 5y)((8x)² + (8x*5y) + (5y)²)

=> (8x - 5y)(64x² + 40xy + 25y²)

Answer 2

Answer:- (8x - 5y) (64x^2 + 40xy + 25y^2)




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