Simplify (25x^2-14xy+4)-(7x^2-9y)+(2xy+7)

$(25 x^{2} - 14 x y + 4) - (7 x^{2} - 9 y) + (2 x y + 7)$

Step 1

Remove parentheses.

$(25 x^{2} - 14 x y + 4) - (7 x^{2} - 9 y) + 2 x y + 7$

Step 2

Simplify each term.

Apply the distributive property.

$25 x^{2} - 14 x y + 4 - (7 x^{2}) - (- 9 y) + 2 x y + 7$

Multiply $7$ by $- 1$ .

$25 x^{2} - 14 x y + 4 - 7 x^{2} - (- 9 y) + 2 x y + 7$

Multiply $- 9$ by $- 1$ .

$25 x^{2} - 14 x y + 4 - 7 x^{2} + 9 y + 2 x y + 7$

Step 3

Simplify by adding terms.

Subtract $7 x^{2}$ from $25 x^{2}$ .

$18 x^{2} - 14 x y + 4 + 9 y + 2 x y + 7$

Add $- 14 x y$ and $2 x y$ .

$18 x^{2} - 12 x y + 4 + 9 y + 7$

Add $4$ and $7$ .

$18 x^{2} - 12 x y + 9 y + 11$