Simplify (3-13x-7x^2)-(5x^2+12x-10)

$(3 - 13 x - 7 x^{2}) - (5 x^{2} + 12 x - 10)$

Step 1

Simplify each term.

Apply the distributive property.

$3 - 13 x - 7 x^{2} - (5 x^{2}) - (12 x) - - 10$

Simplify.

Multiply $5$ by $- 1$ .

$3 - 13 x - 7 x^{2} - 5 x^{2} - (12 x) - - 10$

Multiply $12$ by $- 1$ .

$3 - 13 x - 7 x^{2} - 5 x^{2} - 12 x - - 10$

Multiply $- 1$ by $- 10$ .

$3 - 13 x - 7 x^{2} - 5 x^{2} - 12 x + 10$

$3 - 13 x - 7 x^{2} - 5 x^{2} - 12 x + 10$

$3 - 13 x - 7 x^{2} - 5 x^{2} - 12 x + 10$

Step 2

Simplify by adding terms.

Add $3$ and $10$ .

$- 13 x - 7 x^{2} - 5 x^{2} - 12 x + 13$

Subtract $12 x$ from $- 13 x$ .

$- 7 x^{2} - 5 x^{2} - 25 x + 13$

Subtract $5 x^{2}$ from $- 7 x^{2}$ .

$- 12 x^{2} - 25 x + 13$

$- 12 x^{2} - 25 x + 13$

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