How do you multiply #(3p+5)(2p-4)#?

1 Answer
May 7, 2017

#6p^2-2p-20#

Explanation:

Start with the #3p#. Multiply this by #2p# and then by #-4# to get #6p^2 -12p#. Then do the same with the #-5#. This will get yo #10p-20#. Add these two equations together into #6p^2-12p+10p-20#, and simplify inti #6p^2-2p-20#.

If it helps you can think of it like a claw.
In the format (a+b)(c+d), draw lines from a to c and d, and then from b to c and d underneath. The end result looks a bit like a crab claw and is an easy way to remember how to go about attempting these questions.
Use steps, and add them together into a final equation to make sure you don't get confused. Don't worry about doing too much working out! It's impossible to have such a thing.