What is factor (1+x^2+x^3+x)^6 ?

The solution to factor (1+x^2+x^3+x)^6 is (x+1)^6(x^2+1)^6

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factor (1+x^2+x^3+x)^6

factor

(1 + x^{2} + x^{3} + x)^{6}

(x + 1)^{6} (x^{2} + 1)^{6}

Solution steps

(1 + x^{2} + x^{3} + x)^{6}

Factor

1 + x^{2} + x^{3} + x : (x + 1) (x^{2} + 1)

= ((x + 1) (x^{2} + 1))^{6}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

((x + 1) (x^{2} + 1))^{6} = (x + 1)^{6} (x^{2} + 1)^{6}

= (x + 1)^{6} (x^{2} + 1)^{6}

\frac{7 x ^{2} x ^{6} y}{( - 3 y ^{2} x )}

4^{- n} \cdot 3^{n}

9 x^{- 4} \cdot y^{6}

\frac{3}{2 \cdot x}

\frac{( - 30 x ^{10} + 15 x ^{13} )}{( 3 x ^{2} )}

What is factor (1+x^2+x^3+x)^6 ?
The solution to factor (1+x^2+x^3+x)^6 is (x+1)^6(x^2+1)^6