What is (x-1)(x^4+8)+14x ?

The solution to (x-1)(x^4+8)+14x is x^5-x^4+22x-8

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simplify (x-1)(x^4+8)+14x

simplify

(x - 1) (x^{4} + 8) + 14 x

x^{5} - x^{4} + 22 x - 8

Solution steps

(x - 1) (x^{4} + 8) + 14 x

Expand

(x - 1) (x^{4} + 8) : x^{5} + 8 x - x^{4} - 8

= x^{5} + 8 x - x^{4} - 8 + 14 x

Group like terms

= x^{5} - x^{4} + 8 x + 14 x - 8

Add similar elements:

8 x + 14 x = 22 x

= x^{5} - x^{4} + 22 x - 8

(2 x^{4} - \frac{1}{4 x ^{6}})^{8}

2 cos^{2} (x) - 1

\frac{sin ( x )}{tan ( x )}

2 x^{4} - 18 x^{2}