What is ((x^5+4x^3-5))/((x-1)) ?

The solution to ((x^5+4x^3-5))/((x-1)) is x^4+x^3+5x^2+5x+5

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simplify ((x^5+4x^3-5))/((x-1))

simplify

\frac{( x ^{5} + 4 x ^{3} - 5 )}{( x - 1 )}

x^{4} + x^{3} + 5 x^{2} + 5 x + 5

Solution steps

\frac{x ^{5} + 4 x ^{3} - 5}{x - 1}

Factor

x^{5} + 4 x^{3} - 5 : (x - 1) (x^{4} + x^{3} + 5 x^{2} + 5 x + 5)

= \frac{( x - 1 ) ( x ^{4} + x ^{3} + 5 x ^{2} + 5 x + 5 )}{x - 1}

Cancel the common factor:

x - 1

= x^{4} + x^{3} + 5 x^{2} + 5 x + 5

lo g_{10} (a^{2} \cdot b^{3} \cdot c^{5})

(m - n)^{6} - 8 m^{3}

\frac{1}{cos ^{2} ( x )} - \frac{1}{sin ^{2} ( x )}

13 a - 13 b

\frac{- ( 32 a ^{2} \cdot b )}{( 4 a \cdot b ^{5} )}

What is ((x^5+4x^3-5))/((x-1)) ?
The solution to ((x^5+4x^3-5))/((x-1)) is x^4+x^3+5x^2+5x+5