Solve 3x^{2}y+2y^2-3x^2y-2x^2+4y^2=

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

Evaluate

$$6y^{2}-2x^{2}$$

Solution Steps

Combine 3x^{2}y and -3x^{2}y to get 0.

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

Combine 2y^{2} and 4y^{2} to get 6y^{2}.

$$6y^{2}-2x^{2}$$

Factor

$$2\left(3y^{2}-x^{2}\right)$$

Solution Steps

Multiply and combine like terms.

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

Factor out 2.

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