Simplify x^2-3xy-5xy-7y^2+4x^2+8y^2

$x^{2} - 3 x y - 5 x y - 7 y^{2} + 4 x^{2} + 8 y^{2}$

Step 1

Add $x^{2}$ and $4 x^{2}$ .

$5 x^{2} - 3 x y - 5 x y - 7 y^{2} + 8 y^{2}$

Step 2

Subtract $5 x y$ from $- 3 x y$ .

$5 x^{2} - 8 x y - 7 y^{2} + 8 y^{2}$

Step 3

Add $- 7 y^{2}$ and $8 y^{2}$ .

$5 x^{2} - 8 x y + y^{2}$