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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

- (- 4 x + 10) = 4 x - 10

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

Group like terms

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

Add similar elements:

10 x + 4 x = 14 x

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

Subtract the numbers:

4 - 10 = - 6

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

(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)

(x - 2)^{2} - 1

(x + 3) (x - 4)

- 2.2 3

48 x^{2} - 12 x^{3} - 24 x^{4}

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