What is (6x^4y^3)/(12xy) ?

The solution to (6x^4y^3)/(12xy) is (x^3y^2)/2

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simplify (6x^4y^3)/(12xy)

simplify

\frac{6 x ^{4} y ^{3}}{12 x y}

\frac{x ^{3} y ^{2}}{2}

Solution steps

\frac{6 x ^{4} y ^{3}}{12 x y}

Factor the number:

12 = 6 \cdot 2

= \frac{6 x ^{4} y ^{3}}{6 \cdot 2 x y}

Cancel the common factor:

6

= \frac{x ^{4} y ^{3}}{2 x y}

Simplify

\frac{x ^{4}}{x} : x^{3}

= \frac{x ^{3} y ^{3}}{2 y}

Simplify

\frac{y ^{3}}{y} : y^{2}

= \frac{x ^{3} y ^{2}}{2}

(12 + 8 k^{3} + 3 k - 4 k^{2}) + (5 k^{3} + 15 - k + 2 k^{2})

(x + 8) (x - 3) = 0

- x^{2} + 8 x = 0

5 m^{3} + 30 m^{2} - 35 m

\frac{2}{5} x - \frac{3}{2} x = \frac{3}{4} x + 3