Solve 6kp-2km-3np+nm

$$6 k p - 2 k m - 3 n p + n m$$

Factor

$$\left(2k-n\right)\left(3p-m\right)$$

Solution Steps

Do the grouping 6kp-2km-3np+nm=\left(6kp-2km\right)+\left(-3np+nm\right), and factor out 2k in the first and -n in the second group.

$$2k\left(-m+3p\right)-n\left(-m+3p\right)$$

Factor out common term -m+3p by using distributive property.

$$\left(-m+3p\right)\left(2k-n\right)$$

Evaluate

$$\left(2k-n\right)\left(3p-m\right)$$