Factor the expression 12p+30?

1 Answer
Brandon
Mar 20, 2018

#6(2p+5)#

Explanation:

When factoring an equation, we want to find a common multiple or letter in both terms. As we can see, both terms include numbers, and the highest common multiple of #12# and #30# is #color(blue)(6.)# Therefore we put this out the bracket.

The bracket should look something like:

#color(blue)(6)(...+...)# As it is #+30#, we keep the plus in the middle

Now we need to find out what #color(blue)(6# needs to be multiplied by to get each term.

#color(blue)(6) xxcolor(red)(2p)=12p#

#color(blue)(6)xxcolor(green)(5)=30#

Therefore, you stick both of these terms in the bracket with the #+# in the middle.

#-> 6(color(red)(2p)color(green)(+5))#

We can always check this by expanding out:

#6xx2p=12p#
#6xx5=30#

#therefore# #12p+30#

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