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

The solution to (4x^2+6x-5)-(-7x^2-4x-2) is 11x^2+10x-3

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

simplify

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

11 x^{2} + 10 x - 3

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a - b) = a + b

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

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

Group like terms

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

Add similar elements:

4 x^{2} + 7 x^{2} = 11 x^{2}

= 11 x^{2} + 6 x + 4 x - 5 + 2

Add similar elements:

6 x + 4 x = 10 x

= 11 x^{2} + 10 x - 5 + 2

Add the numbers:

- 5 + 2 = - 3

= 11 x^{2} + 10 x - 3

(11 + 5 i) (- 10 - 8 i)

\frac{4}{5} \div \frac{3}{10}

36 \div 9

- a + b + 2 b - 2 c + 3 a + 2 c - 3 b

(x + 5) (x - 2)

What is (4x^2+6x-5)-(-7x^2-4x-2) ?
The solution to (4x^2+6x-5)-(-7x^2-4x-2) is 11x^2+10x-3