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\frac{\left(h+2k\right)\times 8}{4\left(3h^{2}+6hk\right)}
Multiply \frac{h+2k}{4} times \frac{8}{3h^{2}+6hk} by multiplying numerator times numerator and denominator times denominator.
\frac{2\left(h+2k\right)}{3h^{2}+6hk}
Cancel out 4 in both numerator and denominator.
\frac{2\left(h+2k\right)}{3h\left(h+2k\right)}
Factor the expressions that are not already factored.
\frac{2}{3h}
Cancel out h+2k in both numerator and denominator.
\frac{\left(h+2k\right)\times 8}{4\left(3h^{2}+6hk\right)}
Multiply \frac{h+2k}{4} times \frac{8}{3h^{2}+6hk} by multiplying numerator times numerator and denominator times denominator.
\frac{2\left(h+2k\right)}{3h^{2}+6hk}
Cancel out 4 in both numerator and denominator.
\frac{2\left(h+2k\right)}{3h\left(h+2k\right)}
Factor the expressions that are not already factored.
\frac{2}{3h}
Cancel out h+2k in both numerator and denominator.