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Factorise: 54p3 - 250q3. -

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Question

Factorise: 54p3 - 250q3.

Sum

Solution

54p3 - 250q3.

= 2[27p3 - 125q3]

= 2[(3p)3 - (5q)3]

= 2(3p - 5q)(9p2 + 15pq + 25q2)

shaalaa.com
Factorisation using Identity a3 - b3 = (a - b)(a2 + ab + b2)
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