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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

(- 7 x^{2} + 3) = - 7 x^{2} + 3

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

Apply the distributive law:

- (- a - b) = a + b

- (- 4 x - 3) = 4 x + 3

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

Group like terms

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

Add the numbers:

3 + 3 = 6

= - 7 x^{2} + 4 x + 6

12 \times 6

1 3^{2} - 5^{2}

- 2 \times (- 3)

(k - 10) (k - 2)

\frac{4}{32}