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Question -

Factorize each of the following expressions:
p3┬а+ 27



Answer -

We know that a3┬а+ b3┬а= (a + b)(a2┬атАУ ab + b2)
a3┬атАУ b3┬а= (a тАУ b) (a2┬а+ aft + b2)
p3┬а+ 21 = (p)3┬а+ (3)3
= (p + 3) (p2тАУ p x 3 + 32)
= (p + 3) (p2┬атАУ 3p + 9)

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