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

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

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

simplify

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

- 10 x^{2} + 7 x - 2

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

x + 6 x = 7 x

= - 10 x^{2} + 7 x - 6 + 4

Add the numbers:

- 6 + 4 = - 2

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

7 - 212 + 3

(- 3 x^{2} + 3 x - 8) + (6 x^{2} - 4 x)

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

(7 x^{2} + x) - (9 x^{2} + 4 x)

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

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