How do you simplify (7x-1)(49x^{2}+7x+1)(343x^{3}+1)

hardcoreangelp50

hardcoreangelp50

Answered question

2022-02-08

How do you simplify (7x1)(49x2+7x+1)(343x3+1)

Answer & Explanation

gogrervisulget9z

gogrervisulget9z

Beginner2022-02-09Added 12 answers

(7x)61
=((7x)3)212
=((7x)31)((7x)3+1)
=((7x)313)((7x)3+1)
=(7x1)((7x)2+7x+1)((7x)3+1)
=(7x1)(49x2+7x+1)(343x3+1)
using the difference of square identity:
a2b2=(ab)(a+b)
and the difference of cubes identity:
a3b3=(ab)(a2+ab+b2)

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