What is factor x^{2n}+x^{n+3}-x^{n+1}-x^4 ?

The solution to factor x^{2n}+x^{n+3}-x^{n+1}-x^4 is (x^3+x^n)(x^n-x)

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factor x^{2n}+x^{n+3}-x^{n+1}-x^4

factor

x^{2 n} + x^{n + 3} - x^{n + 1} - x^{4}

(x^{3} + x^{n}) (x^{n} - x)

Solution steps

x^{2 n} + x^{n + 3} - x^{n + 1} - x^{4}

Factor

x^{2 n} + x^{n + 3} : x^{n} (x^{n} + x^{3})

Factor

- x^{n + 1} - x^{4} : - x (x^{n} + x^{3})

= x^{n} (x^{n} + x^{3}) - x (x^{n} + x^{3})

Factor out common term

(x^{3} + x^{n})

= (x^{3} + x^{n}) (x^{n} - x)

\frac{x ^{3} + 1}{x + 1}

\frac{( x - 5 ) ^{2} - 25}{x}

csc (x^{3} - 5 x)

2 x^{2} - 6 x π + 4 π^{2}

x^{2} + 7 x + 12.25

What is factor x^{2n}+x^{n+3}-x^{n+1}-x^4 ?
The solution to factor x^{2n}+x^{n+3}-x^{n+1}-x^4 is (x^3+x^n)(x^n-x)