Solve (x)^(4)-(y)^(4)/x+y | 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

$${ x }^{ 4 } - { y }^{ 4 } /x+y$$

Evaluate

$x^{4}-\frac{y^{4}}{x}+y$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $x^{4}+y$ times $\frac{x}{x}$.

$$\frac{\left(x^{4}+y\right)x}{x}-\frac{y^{4}}{x}$$

Since $\frac{\left(x^{4}+y\right)x}{x}$ and $\frac{y^{4}}{x}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{\left(x^{4}+y\right)x-y^{4}}{x}$$

Do the multiplications in $\left(x^{4}+y\right)x-y^{4}$.

$$\frac{x^{5}+yx-y^{4}}{x}$$

Factor

$\frac{x^{5}+xy-y^{4}}{x}$