Question

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

Answer 1

Answer:

$a^2 + 2ab + b^2$

Step-by-step 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

$a^2 + 2ab + b^2$