Solve (x+y)(x-y)-(x-y)(x+y)

$$( x + y ) ( x - y ) - ( x - y ) ( x + y )$$

Evaluate

$$0$$

Solution Steps

Consider \left(x+y\right)\left(x-y\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Consider \left(x-y\right)\left(x+y\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

To find the opposite of x^{2}-y^{2}, find the opposite of each term.

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

The opposite of -y^{2} is y^{2}.

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

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

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

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

$$0$$

Factor

$$0$$

Solution Steps

Factor out common term 1-1 by using distributive property.

$$\left(1-1\right)\left(\text{Indeterminate}+\text{Indeterminate}+\text{Indeterminate}+\text{Indeterminate}\right)$$

Rewrite the complete factored expression.

$$\text{Indeterminate}$$