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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $- 4$ by $- 1$ .

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

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$- 10 x^{2} - 10 x + 3 + 4 x^{2} + 1 x$

Multiply $x$ by $1$ .

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

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

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

Step 2

Simplify by adding terms.

Add $- 10 x^{2}$ and $4 x^{2}$ .

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

Add $- 10 x$ and $x$ .

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

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

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