Question

$\bf\red{\huge{derive \: it }}$
x³+ y³ = (x + y) (x² - xy + y²)
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Answer 1

x³± y³ = (x ± y) (x² ± xy + y²) -—»

We can Prove this true.. if you Want to derive it Just do The Things of Proof Opposite

PROOF :

x³+ y³ = (x + y) (x² - xy + y²)

TAKING RHS

(x + y) (x² - xy + y²)

x(x²-xy+y²)+y(x²-xy+y²)

x³-x²y+xy²+x²y-xy²+y³

=x³+y³

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x³- y³ = (x - y) (x² + xy + y²)

TAKING RHS

(x-y)(x²+xy+y²)

x(x²+xy+y²)-y(x²+xy+y²)

x³+x²y-xy²-x²y+xy²-y³

=x³-y³

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DERIVATION :

x³+y³

ADD AND SUBTRACT (x²y+xy²)

x³+x²y-xy²-x²y+xy²+y³

x(x²-xy+y²)+y(x²-xy+y²)

(x + y) (x² - xy + y²)

x³-y³

ADD AND SUBTRACT (x²y+xy²)

x³+x²y-xy²-x²y+xy²+y³

x(x²+xy+y²)-y(x²+xy+y²)

(x-y)(x²+xy+y²)

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Hope it Helps

Answer 2

Answer:

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