CPM Homework Help : PC Problem 1-84

Compute without a calculator Though many students think the following statements 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.

Hint:

Try substituting numbers such as 2, 3, 4, or 5.

$\left(x + y\right)^{2} = x^{2} + y^{2}$

$\sqrt{p^2+q^2}=p+q$

$3w^{−2}=\frac{1}{3w^2}$

$(a^{-1} + b^{-1})^{−1} = a + b$

$3 · 2^{x} = 6 ^{x}$