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प्रश्न
Factorise:
`8x^3 − y^3/343`
बेरीज
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उत्तर
Given, `8x^3 - y^3/343`
Factorise the given expression by using a suitable identity.
⇒ `8x^3 - y^3/343 = (2x)^3 - (y/7)^3`
By using identity,
a3 – b3 = (a – b) (a2 + ab + b2)
`a = 2x` and `b = y/7`
= `(2x - y/7) (2x + 2x y/7 + (y/7)^2)`
= `(2x - y/7) (4x^2 + 2/7 xy + y^2/49)`
Therefore, `8x^3 - y^3/343 = (2x - y/7) (4x^2 + 2/7 xy + y^2/49)`
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