What is (24x^3y-12x^2y)/(12xy) ?

The solution to (24x^3y-12x^2y)/(12xy) is x(2x-1)

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simplify (24x^3y-12x^2y)/(12xy)

simplify

\frac{24 x ^{3} y - 12 x ^{2} y}{12 x y}

x (2 x - 1)

Solution steps

\frac{24 x ^{3} y - 12 x ^{2} y}{12 x y}

Factor

24 x^{3} y - 12 x^{2} y : 12 x^{2} y (2 x - 1)

= \frac{12 x ^{2} y ( 2 x - 1 )}{12 x y}

Cancel the common factor:

12

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

Cancel the common factor:

y

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{xx ( 2 x - 1 )}{x}

Cancel the common factor:

x

= x (2 x - 1)

- \frac{5}{2} - 1

8 x - 2 x + 12 < 3 (x + 6)

9 x^{2} = 30 x - 25

1 2^{\frac{1}{3}} \cdot 4 5^{\frac{1}{3}} \cdot 5 0^{\frac{1}{3}}

x (2 x - 12) (6 x - 54) \geq 0

What is (24x^3y-12x^2y)/(12xy) ?
The solution to (24x^3y-12x^2y)/(12xy) is x(2x-1)