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Expression Formation

Verify the fo...

Question

Verify the following:

$(i i i) (p - q) (p^{2} + p q + q^{2}) = p^{3} - q^{3}$

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Solution

$L . H . S .$

$= (p - q) (p^{2} + p q + q^{2})$

$= p (p^{2} + p q + q^{2}) - q (p^{2} + p q + q^{2})$

$= p^{3} + p^{2} q + p q^{2} - p^{2} q - p q^{2} - q^{3}$

$= p^{3} + q^{3}$

$= R . H . S .$

Hence, verified.

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Expression Formation

Standard VII Mathematics

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