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\frac{\left(4k+1\right)^{3}}{\left(-4k-1\right)\left(4k+1\right)}
Factor the expressions that are not already factored.
\frac{\left(4k+1\right)^{2}}{-4k-1}
Cancel out 4k+1 in both numerator and denominator.
\frac{16k^{2}+8k+1}{-4k-1}
Expand the expression.
\frac{\left(4k+1\right)^{3}}{\left(-4k-1\right)\left(4k+1\right)}
Factor the expressions that are not already factored.
\frac{\left(4k+1\right)^{2}}{-4k-1}
Cancel out 4k+1 in both numerator and denominator.
\frac{16k^{2}+8k+1}{-4k-1}
Expand the expression.