What is (12x^2)/(6x^4+12x^3) ?

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

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simplify (12x^2)/(6x^4+12x^3)

simplify

\frac{12 x ^{2}}{6 x ^{4} + 12 x ^{3}}

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

Solution steps

\frac{12 x ^{2}}{6 x ^{4} + 12 x ^{3}}

Factor

6 x^{4} + 12 x^{3} : 6 x^{3} (x + 2)

= \frac{12 x ^{2}}{6 x ^{3} ( x + 2 )}

Factor the number:

12 = 6 \cdot 2

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

Cancel the common factor:

6

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x^{2}

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

\frac{125}{5}

1.5625

\frac{1}{6 ^{- 3}}

108 r^{4} t^{9}

\frac{1}{1 - cos ( x )} - \frac{cos ( x )}{1 + cos ( x )}

What is (12x^2)/(6x^4+12x^3) ?
The solution to (12x^2)/(6x^4+12x^3) is 2/(x(x+2))