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

The solution to (-6x+3)-(-2x^2+6x-10) is 2x^2-12x+13

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

simplify

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

2 x^{2} - 12 x + 13

Solution steps

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

Apply rule:

(a) = a

(- 6 x + 3) = - 6 x + 3

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Add similar elements:

- 6 x - 6 x = - 12 x

= 2 x^{2} - 12 x + 3 + 10

Add the numbers:

3 + 10 = 13

= 2 x^{2} - 12 x + 13

1 \frac{2}{5}

lo g_{2} (50)

(2 x + 3) (2 x + 3)

\frac{2}{3} \div 4

What is (-6x+3)-(-2x^2+6x-10) ?
The solution to (-6x+3)-(-2x^2+6x-10) is 2x^2-12x+13