Solve (-8xy)^2-x^2y^2/-9y^3

$$\frac { ( - 8 x y ) ^ { 2 } - x ^ { 2 } y ^ { 2 } } { - 9 y ^ { 3 } }$$

Evaluate

$$-\frac{7x^{2}}{y}$$

Solution Steps

Expand \left(-8xy\right)^{2}.

$$\frac{\left(-8\right)^{2}x^{2}y^{2}-x^{2}y^{2}}{-9y^{3}}$$

Calculate -8 to the power of 2 and get 64.

$$\frac{64x^{2}y^{2}-x^{2}y^{2}}{-9y^{3}}$$

Combine 64x^{2}y^{2} and -x^{2}y^{2} to get 63x^{2}y^{2}.

$$\frac{63x^{2}y^{2}}{-9y^{3}}$$

Cancel out 9y^{2} in both numerator and denominator.

$$\frac{7x^{2}}{-y}$$

Cancel out -1 in both numerator and denominator.

$$\frac{-7x^{2}}{y}$$

Expand

$$-\frac{7x^{2}}{y}$$

Solution Steps

Expand \left(-8xy\right)^{2}.

$$\frac{\left(-8\right)^{2}x^{2}y^{2}-x^{2}y^{2}}{-9y^{3}}$$

Calculate -8 to the power of 2 and get 64.

$$\frac{64x^{2}y^{2}-x^{2}y^{2}}{-9y^{3}}$$

Combine 64x^{2}y^{2} and -x^{2}y^{2} to get 63x^{2}y^{2}.

$$\frac{63x^{2}y^{2}}{-9y^{3}}$$

Cancel out 9y^{2} in both numerator and denominator.

$$\frac{7x^{2}}{-y}$$

Cancel out -1 in both numerator and denominator.

$$\frac{-7x^{2}}{y}$$