Solve {l}{4m+4n}{-2mp}{-2np}

$$\left. \begin{array} { l } { 4 m + 4 n } \\ { - 2 m p } \\ { - 2 n p } \end{array} \right.$$

Factor

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

Solution Steps

Factor out 2.

$$2\left(2m+2n-mp-np\right)$$

Consider 2m+2n-mp-np. Do the grouping 2m+2n-mp-np=\left(2m+2n\right)+\left(-mp-np\right), and factor out 2 in the first and -p in the second group.

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

Factor out common term m+n by using distributive property.

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

Rewrite the complete factored expression.

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

Evaluate

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