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

The solution to (x^2-5x-2)-(-6x^2-7x-3) is 7x^2+2x+1

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

simplify

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

7 x^{2} + 2 x + 1

Solution steps

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

Apply rule:

(a) = a

(x^{2} - 5 x - 2) = x^{2} - 5 x - 2

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

Apply the distributive law:

- (- a - b) = a + b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 5 x + 7 x = 2 x

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

Add the numbers:

- 2 + 3 = 1

= 7 x^{2} + 2 x + 1

- 3 a^{x + 1} + 2 a^{x + 1} - a^{x + 1} + 2 a^{x + 1}

(5 + 5 i) (- 3 - 7 i)

27 \times 2

\frac{2 ( x - 3 )}{x ^{2} + 2 x - 3} - \frac{3}{x + 3}

What is (x^2-5x-2)-(-6x^2-7x-3) ?
The solution to (x^2-5x-2)-(-6x^2-7x-3) is 7x^2+2x+1