Simplify (-x^2+5x)-(6x^2+x-2)

$(- x^{2} + 5 x) - (6 x^{2} + x - 2)$

Step 1

Simplify each term.

Apply the distributive property.

$- x^{2} + 5 x - (6 x^{2}) - x - - 2$

Simplify.

Multiply $6$ by $- 1$ .

$- x^{2} + 5 x - 6 x^{2} - x - - 2$

Multiply $- 1$ by $- 2$ .

$- x^{2} + 5 x - 6 x^{2} - x + 2$

$- x^{2} + 5 x - 6 x^{2} - x + 2$

$- x^{2} + 5 x - 6 x^{2} - x + 2$

Step 2

Simplify by adding terms.

Subtract $6 x^{2}$ from $- x^{2}$ .

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

Subtract $x$ from $5 x$ .

$- 7 x^{2} + 4 x + 2$

$- 7 x^{2} + 4 x + 2$

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