. // binomial multiplication {questions} {answers}

When multiplying two binomials (such as (x + y) and (x + b)), there are four important multiplications that must be done.  The term "foil" (which stands for "first, outside, inside, last") is extremely helpful for remembering what to do.  What it means is that you multiply the first term of each binomial (x * x), then multiply the two outside terms (x * b), then the two inside terms (y * x), then the last term of each binomial (y * b).  The sum of the results of these multiplications is the result of the multiplication of the binomials.  Here's an example.

(5 + y)(2 + y) = (5 * 2)[first] + (5 * y)[outside] + (y * 2)[inside] + (y * y)[last] = 10 + 7y + y

(1) Multiply:  (8 + c)(7 * d)
(2) Multiply:  (2 + m)(m + 9)
(3) Multiply:  (12 + h)(p + t)