What is 11b^2-4b+7-b^2+8b-9 ?

The solution to 11b^2-4b+7-b^2+8b-9 is 10b^2+4b-2

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simplify 11b^2-4b+7-b^2+8b-9

simplify

11 b^{2} - 4 b + 7 - b^{2} + 8 b - 9

10 b^{2} + 4 b - 2

Solution steps

11 b^{2} - 4 b + 7 - b^{2} + 8 b - 9

Group like terms

= 11 b^{2} - b^{2} - 4 b + 8 b + 7 - 9

Add similar elements:

11 b^{2} - b^{2} = 10 b^{2}

= 10 b^{2} - 4 b + 8 b + 7 - 9

Add similar elements:

- 4 b + 8 b = 4 b

= 10 b^{2} + 4 b + 7 - 9

Subtract the numbers:

7 - 9 = - 2

= 10 b^{2} + 4 b - 2

- 15 + (- 3)

- 15 + (- 4)

\frac{3}{2} \cdot \frac{1}{5}

7 - \frac{2}{5}

\frac{m + 5}{m ^{2} - 4 m - 45}