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What do 2 and 8 share? 2, and p.
8 / 2 = 4
2 / 2 = 1
Put 2p outside the brackets, because they share 2 and p! Then put 1 and 4 inside the brackets, because that was your result when you divided. Remember to write -4, because the equation says -8p! It has to stay negative.
2p(1-4)
Now, since it's 2p^2, you have to add a p to the 1.
So the answer would be: 2p(p-4)
You could also write: p(2p-8)
To factorise is to find the numbers that divide into the original number by only using prime numbers. For example factorise 20 = 2 times 2 times 5
The answer will depend on where the brackets are. In general the solution would be to expand all the brackets, combine like terms and then factorise.
-5
-5
It is: 3(t+3)