What is (24x^2)/(12x^2-6x) ?

The solution to (24x^2)/(12x^2-6x) is (4x)/(2x-1)

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simplify (24x^2)/(12x^2-6x)

simplify

\frac{24 x ^{2}}{12 x ^{2} - 6 x}

\frac{4 x}{2 x - 1}

Solution steps

\frac{24 x ^{2}}{12 x ^{2} - 6 x}

Factor

12 x^{2} - 6 x : 6 x (2 x - 1)

= \frac{24 x ^{2}}{6 x ( 2 x - 1 )}

Factor the number:

24 = 6 \cdot 4

= \frac{6 \cdot 4 x ^{2}}{6 x ( 2 x - 1 )}

Cancel the common factor:

6

= \frac{4 x ^{2}}{x ( 2 x - 1 )}

Apply exponent rule:

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

x^{2} = xx

= \frac{4 xx}{x ( 2 x - 1 )}

Cancel the common factor:

x

= \frac{4 x}{2 x - 1}

(6 a - 7 b)^{2}

49 p

12 x^{2} - 9 x + 15

(6 \cdot 1 0^{- 2})^{- 2}