Question

Rewrite in simplest terms: 3(q – 2r) + 6r – 8(-6r – 2q)

Answer 1

19q + 48r

Step-by-step explanation:
`3\mleft(q-2r\mright)+6r-8\mleft(-6r-2q\mright)`

Expanding the parenthesis:

`3\mleft(q)-3(2r\mright)+6r-8\mleft(-6r)-8(-2q\mright)`

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

`3q\text{ - 6r + 6r + 48r + 16q}`
`\begin{gathered} \text{collect like terms:} \\ 3q\text{ + 16q - 6r + 6r + 48r} \\ 19q\text{ + 48r} \end{gathered}`