Solve [(xy)^2*x-2x^3y^2]

$$[ ( x y ) ^ { 2 } \cdot x - 2 x ^ { 3 } y ^ { 2 } ]$$

Evaluate

$$-y^{2}x^{3}$$

Solution Steps

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

$$x^{2}y^{2}x-2x^{3}y^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}y^{2}-2x^{3}y^{2}$$

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

$$-x^{3}y^{2}$$

Expand

$$-y^{2}x^{3}$$

Solution Steps

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

$$x^{2}y^{2}x-2x^{3}y^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}y^{2}-2x^{3}y^{2}$$

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

$$-x^{3}y^{2}$$