What is (4r^3-2r^2-12)/(2r^3) ?

The solution to (4r^3-2r^2-12)/(2r^3) is (2r^3-r^2-6)/(r^3)

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simplify (4r^3-2r^2-12)/(2r^3)

simplify

\frac{4 r ^{3} - 2 r ^{2} - 12}{2 r ^{3}}

\frac{2 r ^{3} - r ^{2} - 6}{r ^{3}}

Solution steps

\frac{4 r ^{3} - 2 r ^{2} - 12}{2 r ^{3}}

Factor

4 r^{3} - 2 r^{2} - 12 : 2 (2 r^{3} - r^{2} - 6)

= \frac{2 ( 2 r ^{3} - r ^{2} - 6 )}{2 r ^{3}}

Cancel the common factor:

2

= \frac{2 r ^{3} - r ^{2} - 6}{r ^{3}}

36 x^{8} y

25 x^{2} + 60 x y + 36 y^{2}

- 2 + \frac{10}{3}

\frac{8}{9} + \frac{2}{3}

What is (4r^3-2r^2-12)/(2r^3) ?
The solution to (4r^3-2r^2-12)/(2r^3) is (2r^3-r^2-6)/(r^3)