Simplify (-2x^2-4x)-(-7x^2+1)

$(- 2 x^{2} - 4 x) - (- 7 x^{2} + 1)$

Step 1

Simplify each term.

Apply the distributive property.

$- 2 x^{2} - 4 x - (- 7 x^{2}) - 1 \cdot 1$

Multiply $- 7$ by $- 1$ .

$- 2 x^{2} - 4 x + 7 x^{2} - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$- 2 x^{2} - 4 x + 7 x^{2} - 1$

$- 2 x^{2} - 4 x + 7 x^{2} - 1$

Step 2

Add $- 2 x^{2}$ and $7 x^{2}$ .

$5 x^{2} - 4 x - 1$

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