What is (12f^2-9f+15)-(-4f^2-3f+6) ?

The solution to (12f^2-9f+15)-(-4f^2-3f+6) is 16f^2-6f+9

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simplify (12f^2-9f+15)-(-4f^2-3f+6)

simplify

(12 f^{2} - 9 f + 15) - (- 4 f^{2} - 3 f + 6)

16 f^{2} - 6 f + 9

Solution steps

(12 f^{2} - 9 f + 15) - (- 4 f^{2} - 3 f + 6)

Apply rule:

(a) = a

(12 f^{2} - 9 f + 15) = 12 f^{2} - 9 f + 15

= 12 f^{2} - 9 f + 15 - (- 4 f^{2} - 3 f + 6)

Apply the distributive law:

- (- a - b) = a + b

- (- 4 f^{2} - 3 f + 6) = 4 f^{2} + 3 f - 6

= 12 f^{2} - 9 f + 15 + 4 f^{2} + 3 f - 6

Group like terms

= 12 f^{2} + 4 f^{2} - 9 f + 3 f + 15 - 6

Add similar elements:

12 f^{2} + 4 f^{2} = 16 f^{2}

= 16 f^{2} - 9 f + 3 f + 15 - 6

Add similar elements:

- 9 f + 3 f = - 6 f

= 16 f^{2} - 6 f + 15 - 6

Subtract the numbers:

15 - 6 = 9

= 16 f^{2} - 6 f + 9

- \frac{1}{15} + (- \frac{1}{9})

\frac{5}{6} + 2

- 2 x - 6 x^{2}

5 (2 f + 4 g - 5)

- 8 (2 + 9 v)

What is (12f^2-9f+15)-(-4f^2-3f+6) ?
The solution to (12f^2-9f+15)-(-4f^2-3f+6) is 16f^2-6f+9