Simplify (3x^2-7xy+4)-(x^2-2xy+2)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $- 2$ by $- 1$ .

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

Multiply $- 1$ by $2$ .

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

$3 x^{2} - 7 x y + 4 - x^{2} + 2 x y - 2$

Step 2

Simplify by adding terms.

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

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

Add $- 7 x y$ and $2 x y$ .

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

Subtract $2$ from $4$ .

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