Simplify (3x^2+2xy+7)-(6x^2-4xy+3)

$(3 x^{2} + 2 x y + 7) - (6 x^{2} - 4 x y + 3)$

Step 1

Simplify each term.

Apply the distributive property.

$3 x^{2} + 2 x y + 7 - (6 x^{2}) - (- 4 x y) - 1 \cdot 3$

Simplify.

Multiply $6$ by $- 1$ .

$3 x^{2} + 2 x y + 7 - 6 x^{2} - (- 4 x y) - 1 \cdot 3$

Multiply $- 4$ by $- 1$ .

$3 x^{2} + 2 x y + 7 - 6 x^{2} + 4 (x y) - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$3 x^{2} + 2 x y + 7 - 6 x^{2} + 4 (x y) - 3$

$3 x^{2} + 2 x y + 7 - 6 x^{2} + 4 x y - 3$

Step 2

Simplify by adding terms.

Subtract $6 x^{2}$ from $3 x^{2}$ .

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

Add $2 x y$ and $4 x y$ .

$- 3 x^{2} + 6 x y + 7 - 3$

Subtract $3$ from $7$ .

$- 3 x^{2} + 6 x y + 4$