Question

Tell whether each pair of expressions is Equivalent or Not Equivalent. Equivalent Not Equivalent a. 5( 3-6) and 15t - 30 O 0. b. 16 + 72n and (2 + 9n)(8) O ОО c. 46a + 8b) and 10a + 12b O O d. 7x - 9y and (7x - y)(9) O O OPLEASE HELP ME

Answer 1

We have to see if the expressions are equivalent.

a.

$\begin{gathered} 5(3t-6)=15t-30 \\ 5\cdot3t-5\cdot6=15t-30 \\ 15t-30=15t-30\longrightarrow\text{Equivalent} \end{gathered}$

b.

$\begin{gathered} 16+72n=(2+9n)(8) \\ 16+72n=2\cdot8+9n\cdot8 \\ 16+72n=16+72n\longrightarrow\text{Equivalent} \end{gathered}$

c.

$\begin{gathered} 4(6a+8b)=10a+12b \\ 4\cdot6a+4\cdot8b=10a+12b \\ 24a+32b=10a+12b\longrightarrow\text{Not equivalent} \end{gathered}$

d.

$\begin{gathered} 7x-9y=(7x-y)(9) \\ 7x-9y=7x\cdot9-y\cdot9 \\ 7x-9y=63x-9y\longrightarrow\text{Not equivalent} \end{gathered}$

Answer: the expressions that are equivalent are "a" and "b".