What is factor (x^5-32)/(x-2) ?

The solution to factor (x^5-32)/(x-2) is x^4+2x^3+4x^2+8x+16

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factor (x^5-32)/(x-2)

factor

\frac{x ^{5} - 32}{x - 2}

x^{4} + 2 x^{3} + 4 x^{2} + 8 x + 16

Solution steps

\frac{x ^{5} - 32}{x - 2}

Factor

x^{5} - 32 : (x - 2) (x^{4} + 2 x^{3} + 4 x^{2} + 8 x + 16)

= \frac{( x - 2 ) ( x ^{4} + 2 x ^{3} + 4 x ^{2} + 8 x + 16 )}{x - 2}

Cancel the common factor:

x - 2

= x^{4} + 2 x^{3} + 4 x^{2} + 8 x + 16

3 x^{3} 15 x^{2} + x + 5

ln (2) (6)

16 - 8 1^{2}

3 ln (16 x^{2} - 8 y)

x^{5} a + x^{5} b - a - b

What is factor (x^5-32)/(x-2) ?
The solution to factor (x^5-32)/(x-2) is x^4+2x^3+4x^2+8x+16