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Question -

Factorize each of the following expressions:
p3 + 27



Answer -

We know that a3 + b3 = (a + b)(a2 – ab + b2)
a3 – b3 = (a – b) (a2 + aft + b2)
p3 + 21 = (p)3 + (3)3
= (p + 3) (p2– p x 3 + 32)
= (p + 3) (p2 – 3p + 9)

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