Question

Choose the expression that is equivalent to

Answer 1

ANSWER

The equivalent expression is

${q}^{2} + 7q + 2$

EXPLANATION

The given expression is:

$5 {q}^{2} - \frac{2}{3} (6 {q}^{2} -6 q - 3) + 3q$

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;

${q}^{2} + 7q + 2$

Answer 2

${5q}^{2} - \frac{2}{3} ( {6q}^{2} - 6q - 3) + 3q \\ {5q}^{2} - {4q}^{2} + 4q + 2 + 3q \\ {q}^{2} + 7q + 2$