What is (3y-4)(2y+7)+11y-9 ?

The solution to (3y-4)(2y+7)+11y-9 is 6y^2+24y-37

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simplify (3y-4)(2y+7)+11y-9

simplify

(3 y - 4) (2 y + 7) + 11 y - 9

6 y^{2} + 24 y - 37

Solution steps

(3 y - 4) (2 y + 7) + 11 y - 9

Expand

(3 y - 4) (2 y + 7) : 6 y^{2} + 13 y - 28

= 6 y^{2} + 13 y - 28 + 11 y - 9

Group like terms

= 6 y^{2} + 13 y + 11 y - 28 - 9

Add similar elements:

13 y + 11 y = 24 y

= 6 y^{2} + 24 y - 28 - 9

Subtract the numbers:

- 28 - 9 = - 37

= 6 y^{2} + 24 y - 37

3 \cdot \frac{3}{2}

\frac{5}{8} \cdot \frac{4}{5}

10 y - 3 (y + 5)

\frac{4}{7} \times \frac{13}{9}

6 + - 80