Question

factories, 8(p-3)^3+343
​

Answer 1

Answer:

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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