Solve (a ^ 2)/(a + b) - (b ^ 2)/(a + b) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Evaluate

$a-b$

Short Solution Steps

Since $\frac{a^{2}}{a+b}$ and $\frac{b^{2}}{a+b}$ have the same denominator, subtract them by subtracting their numerators.

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

Factor the expressions that are not already factored in $\frac{a^{2}-b^{2}}{a+b}$.

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

Cancel out $a+b$ in both numerator and denominator.

$$a-b$$

Factor

$a-b$