What is (6x^2+12x)/(2x^3) ?

The solution to (6x^2+12x)/(2x^3) is (3(x+2))/(x^2)

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simplify (6x^2+12x)/(2x^3)

simplify

\frac{6 x ^{2} + 12 x}{2 x ^{3}}

\frac{3 ( x + 2 )}{x ^{2}}

Solution steps

\frac{6 x ^{2} + 12 x}{2 x ^{3}}

Factor

6 x^{2} + 12 x : 6 x (x + 2)

= \frac{6 x ( x + 2 )}{2 x ^{3}}

Factor the number:

6 = 2 \cdot 3

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

Cancel the common factor:

2

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

Apply exponent rule:

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

x^{3} = x x^{2}

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

Cancel the common factor:

x

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

\frac{x ^{2} - 5 x + 4}{x ^{2} - 4 x}

\frac{12 ab}{a ^{2} b ^{2}}

\frac{7 ^{6}}{7 ^{4}}

\frac{24 + 2 i}{- 3 + 7 i}

- 4 \times (- 5)