Worksheet Worksheet 3
1.
Consider the expression \((x + 1)^2 - (x - 1)^2\text{.}\) Describe the "big picture" perspective of the expression and put boxes around the terms as appropriate.
2.
Check the presentation for errors. If you find one, circle it and describe the mistake in words.
\begin{equation*}
\begin{aligned}
(x + 4)^2 - (x - 3)^2 \amp = (x^2 + 16) - (x^2 - 9) \amp \eqnspacer \amp \text{Distribute the square} \\
\amp = x^2 - x^2 + 16 + 9 \amp \amp \text{Rearrange the terms} \\
\amp = 25 \amp \amp \text{Combine like terms}
\end{aligned}
\end{equation*}
3.
Simplify the expression \((x + 1)^2 - (x - 1)^2\) using a complete presentation.
4.
Solve the equation \(2 \tan(x) - 5 = -3\) for Do it once using a substitution for then do it without that substitution. Use a complete presentation both times.