Let us factorize the following algebraic expressions:
8(p – 3)3 + 343
We know, a3 – b3 = (a – b)(a2 + ab + b2)
Given,
8(p – 3)3 + 343
= [8(p – 3)]3 + (7)3
= [8(p – 3) + 7] [{8(p – 3)}2 – 8(p – 3).7 + 72]
= (8p – 24 + 7) [64(p – 3)2 – 56(p – 3) + 49]
= (8p – 17) [64(p2 – 6p + 9) – 56p + 168 + 49]
= (8p – 17) [64p2 – 384p + 576 – 56p + 168 + 49]
= (8p – 17) [64p2 – 440p + 793]
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Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
