Find in the missing coefficients and/or exponent in the following expansions, (a+b)^4?

1 Answer
May 1, 2018

(a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4

Explanation:

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To expand the polynomial manually, you would factor
(a + b)^4 to
((a+b)^2)^2 and then to
(a^2+2ab+b^2)^2 which expands further to
a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4