Question

What is the formula for (a+b)^3.
And (a-b)^3 and ( a^3 +b^3) and( a^3-b^3)
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Answer 1

(a-b)³=a³-b³-3ab(a-b).
a³-b³=(a-b)(a²+b²+ab).
a³+b³=(a+b)(a²-ab+b²).

Answer 2

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(a-b)³=a³-3a²b+3ab²-b³= a³-b³-3ab(a-b)

(a+b)³=a³+3a²b+3ab²+b³= a³+b³+3ab(a+b)

a³-b³=(a-b)(a²+ab+b²)

a³+b³=(a+b)(a²-ab+b²)

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