### Home > PC > Chapter 1 > Lesson 1.2.2 > Problem1-84

1-84.

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.

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

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

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

1. $3w^{−2}=\frac{1}{3w^2}$

1. $(a^{-1} + b^{-1})^{−1} = a + b$

1. $3 · 2^{x} = 6 ^{x}$