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

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

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

simplify

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

12 a^{2} - 9 a + 5

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 6 a - 3 a = - 9 a

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

Add the numbers:

- 4 + 9 = 5

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

\frac{2 x}{3 x}

3 x^{- 5}

15 x^{4} - 23 x^{2} + 4

- - 56

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