What is (3x^2+5x+7)-(-4x^2+3x-6) ?

The solution to (3x^2+5x+7)-(-4x^2+3x-6) is 7x^2+2x+13

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simplify (3x^2+5x+7)-(-4x^2+3x-6)

simplify

(3 x^{2} + 5 x + 7) - (- 4 x^{2} + 3 x - 6)

7 x^{2} + 2 x + 13

Solution steps

(3 x^{2} + 5 x + 7) - (- 4 x^{2} + 3 x - 6)

Apply rule:

(a) = a

(3 x^{2} + 5 x + 7) = 3 x^{2} + 5 x + 7

= 3 x^{2} + 5 x + 7 - (- 4 x^{2} + 3 x - 6)

Apply the distributive law:

- (- a + b) = a - b

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

= 3 x^{2} + 5 x + 7 + 4 x^{2} - 3 x + 6

Group like terms

= 3 x^{2} + 4 x^{2} + 5 x - 3 x + 7 + 6

Add similar elements:

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

= 7 x^{2} + 5 x - 3 x + 7 + 6

Add similar elements:

5 x - 3 x = 2 x

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

Add the numbers:

7 + 6 = 13

= 7 x^{2} + 2 x + 13

\frac{1}{4} + \frac{3}{6}

\frac{x ^{3} - x ^{2}}{x - 1}

\frac{1}{6 x}

- \frac{8}{19} + \frac{2}{19}

5 e^{π \frac{i}{4}}

What is (3x^2+5x+7)-(-4x^2+3x-6) ?
The solution to (3x^2+5x+7)-(-4x^2+3x-6) is 7x^2+2x+13