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

1 Answer
Nov 16, 2016

#8m(4+7p)#

Explanation:

In factoring, always look for a common factor first.

#32m+56mp" "larr# the HCF is 8m

#=8m(4+7p)#

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.

#32m +56mp#

=#4m(8m +14p)" "larr# there is still a common factor of 2

=#2xx4m(4+7p)#

=#8m(4+7p)#