What is (8x^2-8x)-(-6x^2-10x+4) ?

The solution to (8x^2-8x)-(-6x^2-10x+4) is 14x^2+2x-4

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simplify (8x^2-8x)-(-6x^2-10x+4)

simplify

(8 x^{2} - 8 x) - (- 6 x^{2} - 10 x + 4)

14 x^{2} + 2 x - 4

Solution steps

(8 x^{2} - 8 x) - (- 6 x^{2} - 10 x + 4)

Apply rule:

(a) = a

(8 x^{2} - 8 x) = 8 x^{2} - 8 x

= 8 x^{2} - 8 x - (- 6 x^{2} - 10 x + 4)

Apply the distributive law:

- (- a - b) = a + b

- (- 6 x^{2} - 10 x + 4) = 6 x^{2} + 10 x - 4

= 8 x^{2} - 8 x + 6 x^{2} + 10 x - 4

Group like terms

= 8 x^{2} + 6 x^{2} - 8 x + 10 x - 4

Add similar elements:

8 x^{2} + 6 x^{2} = 14 x^{2}

= 14 x^{2} - 8 x + 10 x - 4

Add similar elements:

- 8 x + 10 x = 2 x

= 14 x^{2} + 2 x - 4

(7 + 6) (1 + 6)

i^{635}

\frac{3}{8} - \frac{1}{12}

3 x^{4} + 9 x^{3}

2 0^{2} + 1 0^{2}

What is (8x^2-8x)-(-6x^2-10x+4) ?
The solution to (8x^2-8x)-(-6x^2-10x+4) is 14x^2+2x-4