What is (-3a^2+2a-5)-(-2a^2+a+6) ?

The solution to (-3a^2+2a-5)-(-2a^2+a+6) is -a^2+a-11

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simplify (-3a^2+2a-5)-(-2a^2+a+6)

simplify

(- 3 a^{2} + 2 a - 5) - (- 2 a^{2} + a + 6)

- a^{2} + a - 11

Solution steps

(- 3 a^{2} + 2 a - 5) - (- 2 a^{2} + a + 6)

Apply rule:

(a) = a

(- 3 a^{2} + 2 a - 5) = - 3 a^{2} + 2 a - 5

= - 3 a^{2} + 2 a - 5 - (- 2 a^{2} + a + 6)

Apply the distributive law:

- (- a + b) = a - b

- (- 2 a^{2} + a + 6) = 2 a^{2} - a - 6

= - 3 a^{2} + 2 a - 5 + 2 a^{2} - a - 6

Group like terms

= - 3 a^{2} + 2 a^{2} + 2 a - a - 5 - 6

Add similar elements:

- 3 a^{2} + 2 a^{2} = - a^{2}

= - a^{2} + 2 a - a - 5 - 6

Add similar elements:

2 a - a = a

= - a^{2} + a - 5 - 6

Subtract the numbers:

- 5 - 6 = - 11

= - a^{2} + a - 11

2 x + 5 x

\frac{4}{9} + \frac{1}{3}

(4 x - 6)^{2}

\frac{5}{3 k} + \frac{4}{3 k}

\frac{6 - 2}{6 + 2}

What is (-3a^2+2a-5)-(-2a^2+a+6) ?
The solution to (-3a^2+2a-5)-(-2a^2+a+6) is -a^2+a-11