Solve {l}{3x^2+10xy-8}{-x^2-6xy-8y^2}

$$\left. \begin{array} { l } { 3 x ^ { 2 } + 10 x y - 8 } \\ { - x ^ { 2 } - 6 x y - 8 y ^ { 2 } } \end{array} \right.$$

Evaluate

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

Solution Steps

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

$$2x^{2}+10xy-8-6xy-8y^{2}$$

Combine 10xy and -6xy to get 4xy.

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

Factor

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

Solution Steps

Multiply and combine like terms.

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

Factor out 2.

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