Question

simplify
(a+b)(a^2+2ab+b^2 )

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Answer 1

By using the formula:

(a+b)^2 =a^2 +2ab+b^2.

(a+b)(a^2+2ab+b^2 )

=(a+b)(a+b)^2

=(a+b)^3

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Answer 2

Answer:

answer is $a^3+3a^2b+3ab^2+b^3$

Step-by-step explanation:

we have

$(a+b)(a^2+2ab+b^2)=a(a^2+2ab+b^2)+b(a^2+2ab+b^2)$

open brackets, we get

$=a^3+2a^2b+ab^2+ba^2+2ab^2+b^3$

combine like terms, we get

$=a^3+3a^2b+3ab^2+b^3$