How do you write an expression that represents a factorization of 32m + 56mp?

Nov 16, 2016

$8 m \left(4 + 7 p\right)$

Explanation:

In factoring, always look for a common factor first.

$32 m + 56 m p \text{ } \leftarrow$ the HCF is 8m

$= 8 m \left(4 + 7 p\right)$

If you do not spot the HCF at first, you can factor a second time or even a third time until there are no common factors.

$32 m + 56 m p$

=$4 m \left(8 m + 14 p\right) \text{ } \leftarrow$ there is still a common factor of 2

=$2 \times 4 m \left(4 + 7 p\right)$

=$8 m \left(4 + 7 p\right)$