Simplify (-3x^2+x+5)-(4x^2-2x)

$(- 3 x^{2} + x + 5) - (4 x^{2} - 2 x)$

Step 1

Simplify each term.

Apply the distributive property.

$- 3 x^{2} + x + 5 - (4 x^{2}) - (- 2 x)$

Multiply $4$ by $- 1$ .

$- 3 x^{2} + x + 5 - 4 x^{2} - (- 2 x)$

Multiply $- 2$ by $- 1$ .

$- 3 x^{2} + x + 5 - 4 x^{2} + 2 x$

$- 3 x^{2} + x + 5 - 4 x^{2} + 2 x$

Step 2

Simplify by adding terms.

Subtract $4 x^{2}$ from $- 3 x^{2}$ .

$- 7 x^{2} + x + 5 + 2 x$

Add $x$ and $2 x$ .

$- 7 x^{2} + 3 x + 5$

$- 7 x^{2} + 3 x + 5$

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