Question

verify x³+y³=(x+y)(x²-xy+y²)​

Answer 1

We have to prove that x³ - y³ = (x-y)(x² + xy + y²)

So, Let's take R. H. S and prove it equal to L.H. S.

R. H. S

= (x-y)(x² + xy + y²)

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

= x³ + x²y + xy² -yx² -xy² - y³

= x^3 + \cancel{ x^2 y } + \cancel{ x y^2 } - \cancel{ x^2 y } - \cancel{ x y^2 } -y^3

= x³ - y³

= L. H. S.

Hence : LHS = RHS

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Answer 2

Answer:

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Explanation:

RHS = (x+y) (x² + xy + y²)

= x³ + x²y + xy² + x²y + xy² + y³

= x³ + y³

this is equal to LHS