Question

(x+y) (x^2-xy +y^2)​

Answer 1

$(x+y)(x²−xy+y²)$

$= x(x²−xy+y² )+y(x²−xy+y²)$

$= x³ −x²y+xy²+x ²y- xy²+y³</p><p>$

$= x³+y³$

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Answer 2

(x+y)(x²-xy+y²)

=x³+y³

Proof:

Let's take the example of 2³+3³

To prove:

(2+3)³=(2+3)(2²-2×3+3²)

L.H.S.

2³+3³

=8+27

=35

R.H.S.

(2+3)(2²-2×3+3²)

=(5)(4+9-6)

=(5)(7)

=35

L.H.S.=R.H.S.

Hence proved

Therefore, (x+y)(x²-xy+y²)=x³+y³