Solve (a ^ 2)/(a + b) + (2ab + b ^ 2)/(a + b); (l | 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

$$\frac{a^{2}}{a+b}+\frac{2ab+b^{2}}{a+b}; (l$$

Evaluate

$a+b$

Short Solution Steps

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

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

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

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

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

$$a+b$$

Expand

$a+b$

Short Solution Steps

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

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

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

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

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

$$a+b$$