What is (8x^2)/(24x^2+48x) ?

The solution to (8x^2)/(24x^2+48x) is x/(3(x+2))

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simplify (8x^2)/(24x^2+48x)

simplify

\frac{8 x ^{2}}{24 x ^{2} + 48 x}

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

Solution steps

\frac{8 x ^{2}}{24 x ^{2} + 48 x}

Factor

24 x^{2} + 48 x : 24 x (x + 2)

= \frac{8 x ^{2}}{24 x ( x + 2 )}

Factor the number:

24 = 8 \cdot 3

= \frac{8 x ^{2}}{8 \cdot 3 x ( x + 2 )}

Cancel the common factor:

8

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

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

4 - \frac{2}{5}

15 \div \frac{3}{4}

8 a^{3} - b^{3}

\frac{2}{3} - \frac{4}{3}

\frac{\frac{6}{28 x + 4}}{\frac{6}{35 x + 5}}