Solve 11x^{2}-4xy-y^2-5x^2-4xy+2y^2-5y^2

$$11 x ^ { 2 } - 4 x y - y ^ { 2 } - 5 x ^ { 2 } - 4 x y + 2 y ^ { 2 } - 5 y ^ { 2 }$$

Evaluate

$$6x^{2}-8xy-4y^{2}$$

Solution Steps

Combine 11x^{2} and -5x^{2} to get 6x^{2}.

$$6x^{2}-4xy-y^{2}-4xy+2y^{2}-5y^{2}$$

Combine -4xy and -4xy to get -8xy.

$$6x^{2}-8xy-y^{2}+2y^{2}-5y^{2}$$

Combine -y^{2} and 2y^{2} to get y^{2}.

$$6x^{2}-8xy+y^{2}-5y^{2}$$

Combine y^{2} and -5y^{2} to get -4y^{2}.

$$6x^{2}-8xy-4y^{2}$$

Factor

$$2\left(3x^{2}-4xy-2y^{2}\right)$$

Solution Steps

Multiply and combine like terms.

$$6x^{2}-8xy-4y^{2}$$

Factor out 2.

$$2\left(3x^{2}-4xy-2y^{2}\right)$$