Simplify (2x^2+5x-4)-(3x^2-7x+1)

$(2 x^{2} + 5 x - 4) - (3 x^{2} - 7 x + 1)$

Step 1

Simplify each term.

Apply the distributive property.

$2 x^{2} + 5 x - 4 - (3 x^{2}) - (- 7 x) - 1 \cdot 1$

Simplify.

Multiply $3$ by $- 1$ .

$2 x^{2} + 5 x - 4 - 3 x^{2} - (- 7 x) - 1 \cdot 1$

Multiply $- 7$ by $- 1$ .

$2 x^{2} + 5 x - 4 - 3 x^{2} + 7 x - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$2 x^{2} + 5 x - 4 - 3 x^{2} + 7 x - 1$

Step 2

Simplify by adding terms.

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

$- x^{2} + 5 x - 4 + 7 x - 1$

Add $5 x$ and $7 x$ .

$- x^{2} + 12 x - 4 - 1$

Subtract $1$ from $- 4$ .

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