Solve (l-m)^2-(l-m)^2

$$( l - m ) ^ { 2 } - ( l - m ) ^ { 2 }$$

Evaluate

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Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(l-m\right)^{2}.

$$l^{2}-2lm+m^{2}-\left(l-m\right)^{2}$$

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(l-m\right)^{2}.

$$l^{2}-2lm+m^{2}-\left(l^{2}-2lm+m^{2}\right)$$

To find the opposite of l^{2}-2lm+m^{2}, find the opposite of each term.

$$l^{2}-2lm+m^{2}-l^{2}+2lm-m^{2}$$

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

$$-2lm+m^{2}+2lm-m^{2}$$

Combine -2lm and 2lm to get 0.

$$m^{2}-m^{2}$$

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

$$0$$

Factor

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Solution Steps

Factor out \left(l-m\right)^{2}.

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