What is (-4b^2+6b-9)-(7b^2-2b-5) ?

The solution to (-4b^2+6b-9)-(7b^2-2b-5) is -11b^2+8b-4

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simplify (-4b^2+6b-9)-(7b^2-2b-5)

simplify

(- 4 b^{2} + 6 b - 9) - (7 b^{2} - 2 b - 5)

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

Solution steps

(- 4 b^{2} + 6 b - 9) - (7 b^{2} - 2 b - 5)

Apply rule:

(a) = a

(- 4 b^{2} + 6 b - 9) = - 4 b^{2} + 6 b - 9

= - 4 b^{2} + 6 b - 9 - (7 b^{2} - 2 b - 5)

Apply the distributive law:

- (a - b) = - a + b

- (7 b^{2} - 2 b - 5) = - 7 b^{2} + 2 b + 5

= - 4 b^{2} + 6 b - 9 - 7 b^{2} + 2 b + 5

Group like terms

= - 4 b^{2} - 7 b^{2} + 6 b + 2 b - 9 + 5

Add similar elements:

- 4 b^{2} - 7 b^{2} = - 11 b^{2}

= - 11 b^{2} + 6 b + 2 b - 9 + 5

Add similar elements:

6 b + 2 b = 8 b

= - 11 b^{2} + 8 b - 9 + 5

Add the numbers:

- 9 + 5 = - 4

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

x^{2} - 6 x + 8 < 0

\frac{12 !}{( 12 - 7 ) !}

23 z + 19 = 3 (5 z - 9) + 8 z + 46

m^{2} - 5 < 0

What is (-4b^2+6b-9)-(7b^2-2b-5) ?
The solution to (-4b^2+6b-9)-(7b^2-2b-5) is -11b^2+8b-4