Simplify Subtract -2x^2-4x from 2x^2-2x-5

Subtract $- 2 x^{2} - 4 x$ from $2 x^{2} - 2 x - 5$

Write the problem as a mathematical expression.

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

Simplify each term.

Apply the distributive property.

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

Multiply $- 2$ by $- 1$ .

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

Multiply $- 4$ by $- 1$ .

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

Simplify by adding terms.

Add $2 x^{2}$ and $2 x^{2}$ .

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

Add $- 2 x$ and $4 x$ .

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