What is ((15x^6-20x^5+10x^4-5x^3))/(5x^3) ?

The solution to ((15x^6-20x^5+10x^4-5x^3))/(5x^3) is (x-1)(3x^2-x+1)

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simplify ((15x^6-20x^5+10x^4-5x^3))/(5x^3)

simplify

\frac{( 15 x ^{6} - 20 x ^{5} + 10 x ^{4} - 5 x ^{3} )}{5 x ^{3}}

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

Solution steps

\frac{15 x ^{6} - 20 x ^{5} + 10 x ^{4} - 5 x ^{3}}{5 x ^{3}}

Factor

15 x^{6} - 20 x^{5} + 10 x^{4} - 5 x^{3} : 5 x^{3} (3 x^{3} - 4 x^{2} + 2 x - 1)

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

Factor

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

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

Cancel the common factor:

5

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

Cancel the common factor:

x^{3}

= (x - 1) (3 x^{2} - x + 1)

\frac{120}{15}

7^{2} - 2 [9 x - 5 (10 - 8 x)]

ln (y^{2})

- 4 x + 4 x

ln (e^{6 x})

What is ((15x^6-20x^5+10x^4-5x^3))/(5x^3) ?
The solution to ((15x^6-20x^5+10x^4-5x^3))/(5x^3) is (x-1)(3x^2-x+1)