Question

factorise
(1) P^3-343
Pease write in full meathod

Answer 1

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• Factorise ${p}^{3} - 343$

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${p}^{3} - 343$

$= {p}^{3} - {7}^{3}$

Now, we know that,

${x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )$

So,

$= {p}^{3} - {7}^{3}$

$= (p - 7)( {p}^{2} + 7p + 49)$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• $(p - 7)( {p}^{2} + 7p + 49)$