Simplify (3x^2+2y^2-3x)-(2x^2+y^2-2x)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $2$ by $- 1$ .

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

Multiply $- 2$ by $- 1$ .

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

Step 2

Simplify by adding terms.

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

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

Subtract $y^{2}$ from $2 y^{2}$ .

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

Add $- 3 x$ and $2 x$ .

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