What is (6f^2-9f+10)-(-2f^2-f+3) ?

The solution to (6f^2-9f+10)-(-2f^2-f+3) is 8f^2-8f+7

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simplify (6f^2-9f+10)-(-2f^2-f+3)

simplify

(6 f^{2} - 9 f + 10) - (- 2 f^{2} - f + 3)

8 f^{2} - 8 f + 7

Solution steps

(6 f^{2} - 9 f + 10) - (- 2 f^{2} - f + 3)

Apply rule:

(a) = a

(6 f^{2} - 9 f + 10) = 6 f^{2} - 9 f + 10

= 6 f^{2} - 9 f + 10 - (- 2 f^{2} - f + 3)

Apply the distributive law:

- (- a - b) = a + b

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

= 6 f^{2} - 9 f + 10 + 2 f^{2} + f - 3

Group like terms

= 6 f^{2} + 2 f^{2} - 9 f + f + 10 - 3

Add similar elements:

6 f^{2} + 2 f^{2} = 8 f^{2}

= 8 f^{2} - 9 f + f + 10 - 3

Add similar elements:

- 9 f + f = - 8 f

= 8 f^{2} - 8 f + 10 - 3

Subtract the numbers:

10 - 3 = 7

= 8 f^{2} - 8 f + 7

5!!

60!

\frac{2}{9} \cdot \frac{9}{10} + \frac{2}{3}

\frac{- \frac{1}{2}}{2}

\frac{9}{25}

What is (6f^2-9f+10)-(-2f^2-f+3) ?
The solution to (6f^2-9f+10)-(-2f^2-f+3) is 8f^2-8f+7