Solve frac{a^{2}+b^2-c^2}{a^2b^2}+2/ab]*1/a+b

$$\frac { a ^ { 2 } + b ^ { 2 } - c ^ { 2 } } { a ^ { 2 } b ^ { 2 } } + \frac { 2 } { a b } ] \cdot \frac { 1 } { a + b }$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a^{2}b^{2} and ab is a^{2}b^{2}. Multiply \frac{2}{ab} times \frac{ab}{ab}.

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

Since \frac{a^{2}+b^{2}-c^{2}}{a^{2}b^{2}} and \frac{2ab}{a^{2}b^{2}} have the same denominator, add them by adding their numerators.

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

Expand

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a^{2}b^{2} and ab is a^{2}b^{2}. Multiply \frac{2}{ab} times \frac{ab}{ab}.

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

Since \frac{a^{2}+b^{2}-c^{2}}{a^{2}b^{2}} and \frac{2ab}{a^{2}b^{2}} have the same denominator, add them by adding their numerators.

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