Simplify 3(x^2-1)-(x^2-7x+10)

$3 (x^{2} - 1) - (x^{2} - 7 x + 10)$

Step 1

Simplify each term.

Apply the distributive property.

$3 x^{2} + 3 \cdot - 1 - (x^{2} - 7 x + 10)$

Multiply $3$ by $- 1$ .

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

Apply the distributive property.

$3 x^{2} - 3 - x^{2} - (- 7 x) - 1 \cdot 10$

Simplify.

Multiply $- 7$ by $- 1$ .

$3 x^{2} - 3 - x^{2} + 7 x - 1 \cdot 10$

Multiply $- 1$ by $10$ .

$3 x^{2} - 3 - x^{2} + 7 x - 10$

$3 x^{2} - 3 - x^{2} + 7 x - 10$

$3 x^{2} - 3 - x^{2} + 7 x - 10$

Step 2

Simplify by adding terms.

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

$2 x^{2} - 3 + 7 x - 10$

Subtract $10$ from $- 3$ .

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

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

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