x4+x

Multiply x4+x by 4-x4-x.

x4+x⋅4-x4-x

Multiply x4+x and 4-x4-x.

x(4-x)(4+x)(4-x)

Expand the denominator using the FOIL method.

x(4-x)16-4x+x⋅4-x2

Use axn=axn to rewrite x as x12.

x(4-x)16-(x12)2

Apply the power rule and multiply exponents, (am)n=amn.

x(4-x)16-x12⋅2

Combine 12 and 2.

x(4-x)16-x22

Cancel the common factor of 2.

Cancel the common factor.

x(4-x)16-x22

Divide 1 by 1.

x(4-x)16-x1

x(4-x)16-x1

Simplify.

x(4-x)16-x

x(4-x)16-x

Simplify x/(4+ square root of x)