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km\left(16k^{2}-40km+25m^{2}\right)
Factor out km.
\left(-5m+4k\right)^{2}
Consider 16k^{2}-40km+25m^{2}. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=-5m and b=4k.
km\left(-5m+4k\right)^{2}
Rewrite the complete factored expression.