Question

3. Which expression is equivalent to:9q squared - 2/3 ( 3q - 7 ) + 5q squared

Answer 1

`9q^2\text{ - }(2)/(3)\cdot(3q-7)+5q^2`

Distributing multiplication over subtraction, we get:

`9q^2\text{ - }(2)/(3)\cdot3q\text{ + }(2)/(3)\cdot7+5q^2`
`9q^2\text{ - 2q + }(14)/(3)+5q^2`

Combining similar terms:

`(9q^2+5q^2)\text{ - 2q + }(14)/(3)`
`14q^2\text{ - 2q + }(14)/(3)`