Respuesta :

jg71

[tex] {5q}^{2} - \frac{2}{3} ( {6q}^{2} - 6q - 3) + 3q \\ {5q}^{2} - {4q}^{2} + 4q + 2 + 3q \\ {q}^{2} + 7q + 2[/tex]

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ANSWER

The equivalent expression is

[tex]{q}^{2} + 7q + 2[/tex]

EXPLANATION

The given expression is:

[tex]5 {q}^{2} - \frac{2}{3} (6 {q}^{2} -6 q - 3) + 3q[/tex]

Expand the parenthesis;

[tex]5 {q}^{2} - 4 {q}^{2} + 4q + 2 + 3q[/tex]

Regroup similar terms

[tex]5 {q}^{2} - 4 {q}^{2} + 4q + 3q + 2[/tex]

Combine similar terms;

[tex] {q}^{2} + 7q + 2[/tex]

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