Question

Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).

Answer 1

`a^2 + 2ab + b^2`

Explanation:

Given

`(a + b)^2`

Required

Express as a standard polynomial

We have:

`(a + b)^2`

Rewrite as:

`(a + b)(a + b)`

Open bracket

`a^2 + ab + ab + b^2`

Add like terms

`a^2 + 2ab + b^2`