What is (-8x+10)-(3x^2-x+6) ?

The solution to (-8x+10)-(3x^2-x+6) is -3x^2-7x+4

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simplify (-8x+10)-(3x^2-x+6)

simplify

(- 8 x + 10) - (3 x^{2} - x + 6)

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

Solution steps

(- 8 x + 10) - (3 x^{2} - x + 6)

Apply rule:

(a) = a

(- 8 x + 10) = - 8 x + 10

= - 8 x + 10 - (3 x^{2} - x + 6)

Apply the distributive law:

- (a - b) = - a + b

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

= - 8 x + 10 - 3 x^{2} + x - 6

Group like terms

= - 3 x^{2} - 8 x + x + 10 - 6

Add similar elements:

- 8 x + x = - 7 x

= - 3 x^{2} - 7 x + 10 - 6

Subtract the numbers:

10 - 6 = 4

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

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

(3 x^{2} + 10) - (- 7 x^{2} - 9 x)

9 a^{3} + a

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

(a + 6) (a - 6) - a^{2}