What is (-10x^2-10x+3)-(-4x^2-x) ?

The solution to (-10x^2-10x+3)-(-4x^2-x) is -6x^2-9x+3

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simplify (-10x^2-10x+3)-(-4x^2-x)

simplify

(- 10 x^{2} - 10 x + 3) - (- 4 x^{2} - x)

- 6 x^{2} - 9 x + 3

Solution steps

(- 10 x^{2} - 10 x + 3) - (- 4 x^{2} - x)

Apply rule:

(a) = a

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

= - 10 x^{2} - 10 x + 3 - (- 4 x^{2} - x)

Apply the distributive law:

- (- a - b) = a + b

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

= - 10 x^{2} - 10 x + 3 + 4 x^{2} + x

Group like terms

= - 10 x^{2} + 4 x^{2} - 10 x + x + 3

Add similar elements:

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

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

Add similar elements:

- 10 x + x = - 9 x

= - 6 x^{2} - 9 x + 3

\frac{16}{32}

x \cdot x^{2}

(x + y - 1)^{2}

3 \frac{4}{5}

4 x^{6}

What is (-10x^2-10x+3)-(-4x^2-x) ?
The solution to (-10x^2-10x+3)-(-4x^2-x) is -6x^2-9x+3