Special Products of Polynomials

Sample explanations for some of the practice exercises below are available by viewing the following video. Note that there is not always a match between the number of the practice exercise in the video and the number of the practice exercise listed in the following exercise set.  However, the practice exercise is the same in both.

Special Products of Binomials

Use the special product for squaring binomials to multiply these expressions.

1. \(\begin{align*}(x+9)^2\end{align*}\)
2. \(\begin{align*}(x-1)^2\end{align*}\)
3. \(\begin{align*}(2y+6)^2\end{align*}\)
4. \(\begin{align*}(3x-7)^2\end{align*}\)
5. \(\begin{align*}(7c+8)^2\end{align*}\)

14. \(\begin{align*}(2x-1)(2x+1)\end{align*}\)
15. \(\begin{align*}(2x-3)(2x+3)\end{align*}\)
16. \(\begin{align*}(4+6x)(4-6x)\end{align*}\)
17. \(\begin{align*}(6+2r)(6-2r)\end{align*}\)
18. \(\begin{align*}(-2t+7)(2t+7)\end{align*}\)