Question

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

Answer 1

`(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`