Question

Verify x³-y³ = (x-y) (x²+xy+y²)​

Answer 1

Answer:

i) x³ + y³ = (x + y)(x² - xy + y² )

Taking the RHS,

(x + y)(x² - xy + y²) = x(x² - xy + y² ) + y(x² - xy + y²)

= x³ - x²y + xy² + x²y - xy² + y³

= x³ + y³ = LHS

ii) x³ - y³ = (x - y)(x² + xy + y²)

Taking the RHS,

(x - y)(x² + xy + y²) = x (x² + xy + y²) - y (x² + xy + y²)

= x³ + x²y + xy² - x²y - xy² - y³

= x³ - y³ = LHS

Hence, verified

Answer 2

Step-by-step explanation:

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