Question

Choose the expression that is equivalent to

Answer 1

`{5q}^(2) - (2)/(3) ( {6q}^(2) - 6q - 3) + 3q \\ {5q}^(2) - {4q}^(2) + 4q + 2 + 3q \\ {q}^(2) + 7q + 2`

Answer 2

ANSWER

The equivalent expression is


`{q}^(2) + 7q + 2`

Step-by-step explanation

The given expression is:


`5 {q}^(2) - (2)/(3) (6 {q}^(2) -6 q - 3) + 3q`

Expand the parenthesis;


`5 {q}^(2) - 4 {q}^(2) + 4q + 2 + 3q`

Regroup similar terms


`5 {q}^(2) - 4 {q}^(2) + 4q + 3q + 2`

Combine similar terms;


`{q}^(2) + 7q + 2`