Question

9. (x - y)^3 - 8x^3 by factorise​

Answer 1

Answer:

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Step-by-step explanation:

(x−y)

3

−8x

3

=(x−y)

3

−(2x)

3

Using,

a

3

−b

3

=(a−b)(a

2

+b

2

+ab)

=(x−y−2x)((x−y)

2

+(2x)

2

+(x−y)2x)

=(−y−x)((x

2

+y

2

−2xy)+4x

2

+2x

2

−2xy)

=−(x+y)(7x

2

−4xy+y

2

)

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