Solve frac{(a^{2}-b^{2}-c^2-2bc)(a+b-c)}{(a+b+c)(a^2+c^2-2ac-b^2)}

$$\frac { ( a ^ { 2 } - b ^ { 2 } - c ^ { 2 } - 2 b c ) ( a + b - c ) } { ( a + b + c ) ( a ^ { 2 } + c ^ { 2 } - 2 a c - b ^ { 2 } ) }$$

Evaluate

$$1$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(a+b+c\right)\left(a+b-c\right)\left(a-b-c\right)}{\left(a+b+c\right)\left(a+b-c\right)\left(a-b-c\right)}$$

Cancel out \left(a+b+c\right)\left(a+b-c\right)\left(a-b-c\right) in both numerator and denominator.

$$1$$

Factor

$$1$$