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

The solution to (b^2+8b-9)-(11b^2-4b+7) is -10b^2+12b-16

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

simplify

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

- 10 b^{2} + 12 b - 16

Solution steps

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

Apply rule:

(a) = a

(b^{2} + 8 b - 9) = b^{2} + 8 b - 9

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

Apply the distributive law:

- (a - b) = - a + b

- (11 b^{2} - 4 b + 7) = - 11 b^{2} + 4 b - 7

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

8 b + 4 b = 12 b

= - 10 b^{2} + 12 b - 9 - 7

Subtract the numbers:

- 9 - 7 = - 16

= - 10 b^{2} + 12 b - 16

4 x^{2} - 1 y^{4} x^{2} - 4 x + 1

3 - \frac{8}{5}

4 x^{2} = 4 x + 7

2 (0) - 5

\frac{12}{6} \cdot \frac{4}{30}

What is (b^2+8b-9)-(11b^2-4b+7) ?
The solution to (b^2+8b-9)-(11b^2-4b+7) is -10b^2+12b-16