What is (6x^2-4x+9)-(-3x-2) ?

The solution to (6x^2-4x+9)-(-3x-2) is 6x^2-x+11

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simplify (6x^2-4x+9)-(-3x-2)

simplify

(6 x^{2} - 4 x + 9) - (- 3 x - 2)

6 x^{2} - x + 11

Solution steps

(6 x^{2} - 4 x + 9) - (- 3 x - 2)

Apply rule:

(a) = a

(6 x^{2} - 4 x + 9) = 6 x^{2} - 4 x + 9

= 6 x^{2} - 4 x + 9 - (- 3 x - 2)

Apply the distributive law:

- (- a - b) = a + b

- (- 3 x - 2) = 3 x + 2

= 6 x^{2} - 4 x + 9 + 3 x + 2

Group like terms

= 6 x^{2} - 4 x + 3 x + 9 + 2

Add similar elements:

- 4 x + 3 x = - x

= 6 x^{2} - x + 9 + 2

Add the numbers:

9 + 2 = 11

= 6 x^{2} - x + 11

(7 x) - (- 2 x)

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

1 - a^{4}

x^{- 4} y

\frac{9}{4} \div \frac{3}{8}