Solve (a)^(5)+(b)^(5)/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

$${ a }^{ 5 } + { b }^{ 5 } /a+b$$

Evaluate

$a^{5}+\frac{b^{5}}{a}+b$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $a^{5}+b$ times $\frac{a}{a}$.

$$\frac{\left(a^{5}+b\right)a}{a}+\frac{b^{5}}{a}$$

Since $\frac{\left(a^{5}+b\right)a}{a}$ and $\frac{b^{5}}{a}$ have the same denominator, add them by adding their numerators.

$$\frac{\left(a^{5}+b\right)a+b^{5}}{a}$$

Do the multiplications in $\left(a^{5}+b\right)a+b^{5}$.

$$\frac{a^{6}+ba+b^{5}}{a}$$

Factor

$\frac{a^{6}+ab+b^{5}}{a}$