What is (-7a^2+3a-9)-(5a^2-6a-4) ?

The solution to (-7a^2+3a-9)-(5a^2-6a-4) is -12a^2+9a-5

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simplify (-7a^2+3a-9)-(5a^2-6a-4)

simplify

(- 7 a^{2} + 3 a - 9) - (5 a^{2} - 6 a - 4)

- 12 a^{2} + 9 a - 5

Solution steps

(- 7 a^{2} + 3 a - 9) - (5 a^{2} - 6 a - 4)

Apply rule:

(a) = a

(- 7 a^{2} + 3 a - 9) = - 7 a^{2} + 3 a - 9

= - 7 a^{2} + 3 a - 9 - (5 a^{2} - 6 a - 4)

Apply the distributive law:

- (a - b) = - a + b

- (5 a^{2} - 6 a - 4) = - 5 a^{2} + 6 a + 4

= - 7 a^{2} + 3 a - 9 - 5 a^{2} + 6 a + 4

Group like terms

= - 7 a^{2} - 5 a^{2} + 3 a + 6 a - 9 + 4

Add similar elements:

- 7 a^{2} - 5 a^{2} = - 12 a^{2}

= - 12 a^{2} + 3 a + 6 a - 9 + 4

Add similar elements:

3 a + 6 a = 9 a

= - 12 a^{2} + 9 a - 9 + 4

Add the numbers:

- 9 + 4 = - 5

= - 12 a^{2} + 9 a - 5

(3 x^{5} + 8)^{2}

(\frac{\frac{3}{5}}{\frac{6}{5}})^{2}

(5 - 7 i) (- 4 - 3 i)

6 - \frac{3}{4}

What is (-7a^2+3a-9)-(5a^2-6a-4) ?
The solution to (-7a^2+3a-9)-(5a^2-6a-4) is -12a^2+9a-5