Solve x^2(x+y)(x-y)+x^2y^2

$$x ^ { 2 } ( x + y ) ( x - y ) + x ^ { 2 } y ^ { 2 }$$

Evaluate

$$x^{4}$$

Solution Steps

Use the distributive property to multiply x^{2} by x+y.

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

Use the distributive property to multiply x^{3}+x^{2}y by x-y and combine like terms.

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

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

$$x^{4}$$

Expand

$$x^{4}$$

Solution Steps

Use the distributive property to multiply x^{2} by x+y.

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

Use the distributive property to multiply x^{3}+x^{2}y by x-y and combine like terms.

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

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

$$x^{4}$$