What is (-6x^2-x)-(-4x^2+10x-1) ?

The solution to (-6x^2-x)-(-4x^2+10x-1) is -2x^2-11x+1

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simplify (-6x^2-x)-(-4x^2+10x-1)

simplify

(- 6 x^{2} - x) - (- 4 x^{2} + 10 x - 1)

- 2 x^{2} - 11 x + 1

Solution steps

(- 6 x^{2} - x) - (- 4 x^{2} + 10 x - 1)

Apply rule:

(a) = a

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

= - 6 x^{2} - x - (- 4 x^{2} + 10 x - 1)

Apply the distributive law:

- (- a + b) = a - b

- (- 4 x^{2} + 10 x - 1) = 4 x^{2} - 10 x + 1

= - 6 x^{2} - x + 4 x^{2} - 10 x + 1

Group like terms

= - 6 x^{2} + 4 x^{2} - x - 10 x + 1

Add similar elements:

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

= - 2 x^{2} - x - 10 x + 1

Add similar elements:

- x - 10 x = - 11 x

= - 2 x^{2} - 11 x + 1

(8 p - 2) (6 p + 2)

\frac{7}{21}

(- 7) 2

x^{18} - 49

\frac{1}{2} \times \frac{3}{4}

What is (-6x^2-x)-(-4x^2+10x-1) ?
The solution to (-6x^2-x)-(-4x^2+10x-1) is -2x^2-11x+1