What is (4x^2-7x-2)-(-3x-8) ?

The solution to (4x^2-7x-2)-(-3x-8) is 4x^2-4x+6

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simplify (4x^2-7x-2)-(-3x-8)

simplify

(4 x^{2} - 7 x - 2) - (- 3 x - 8)

4 x^{2} - 4 x + 6

Solution steps

(4 x^{2} - 7 x - 2) - (- 3 x - 8)

Apply rule:

(a) = a

(4 x^{2} - 7 x - 2) = 4 x^{2} - 7 x - 2

= 4 x^{2} - 7 x - 2 - (- 3 x - 8)

Apply the distributive law:

- (- a - b) = a + b

- (- 3 x - 8) = 3 x + 8

= 4 x^{2} - 7 x - 2 + 3 x + 8

Group like terms

= 4 x^{2} - 7 x + 3 x - 2 + 8

Add similar elements:

- 7 x + 3 x = - 4 x

= 4 x^{2} - 4 x - 2 + 8

Add the numbers:

- 2 + 8 = 6

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

4 a b^{2} + 4 a^{2} - 4 b^{2} x - 4 a x

(x + 2) (2 x + 1)

w^{2} + 18 w + 77

(a + 1) (a - 1) (a + 2) (a - 2)

\frac{- 3 - - 25}{- 1 - - 49}