CPM Homework Help : PC3 Problem 1-51

Though it looks like the following equations are true, each of them is actually false. Confirm this by substituting simple numbers for the variables and doing the arithmetic. Note: Do not use $0$ or $1$ ; they are too special. REMEMBER: EACH OF THESE STATEMENTS IS FALSE.

Note: This stoplight icon will appear periodically throughout the text. Problems with this icon display common errors that can be made. Be
sure not to make the same mistakes yourself!

Hint:

Try substituting numbers such as $2$ , $3$ , $4$ , and $5$ .

$(x+y)^2=x^2+y^2$
$\sqrt{p^2+q^2}=p+q$
$3w^{-2} =\large{\frac { 1 } { 3 w ^ { 2 } }}$
$(a^{-1}+b^{-1})^{-1}=$ $a+b$
$3·2^x=6^x$