Question

Factorise 125xpower3- 343ypower3

Answer 1

Answer:

is this ques like this?

Answer 2

Answer:

This problem is based on the algebraic identities.

Step-by-step explanation:

So,

$({125x}^{3}) \: - \: ( {343y}^{3})$

By the identity a^3 - b^3 , we get ,

a^3 - b^3 = (a-b) (a^2 + ab + b^2)

(125x^3) - (343y^3) = (5x - 7y) [(5x)^2 + (5x)(7y) + (7y)^2]

(125x^3) - (343y^3) = (5x - 7y) [(25x^2) + (35xy) + (49y^2)]

SO YOUR ANSWER IS :-

$(5x - 7y) \: ( {25x}^{2} + 35xy \\ + {49y}^{2} )$

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