Factorise Common Factors in Brackets and Indices


Factorize a plus b squared minus 2a plus b. All right, so you can see that a plus b is common. Because this is one term and this is another. So a plus b is common in those two terms. Now what I’m going to do is separate a plus b squared because some people might get confused with a squared, so a plus b squared is basically a plus b times a plus b isn’t it?

So I kind of expanded that out just for the take of looking at it in a different way, so as I said a plus b is common but only one of the a plus b. We can’t have both of them out because this one only has one a plus b. So we also take out one of the a plus b is in that first term. So if I take out a plus b, I’ll have seen how if I take a plus b out in this term. In that term, because we took the a plus b out we have a plus b still remaining, and in this term because we took the a plus b out we have minus two left.

So that’s how we put minus two, so a plus b minus two is left inside the next bracket. And that’s the answer guys can you see it? So what I’m gonna do guys as I usually do I’m going to kind of expand it out, so see how a squared is aa and here b cubed is bbb and c squared is cc.

I got rid of any powers by expanding it into these kinds of forms and look what I did here.

I changed 24 to 4 times 6 and I changed 16 to 4 times 4. Why do you think I did that? 4 4 4 they’re all back model multiples of 4, 4 is a common factor in all of them.
So 4 we also take out okay? So let’s take all those things. I just said all those common factors out so 4abc is our common factor take that out, so I took 4abc out, so here we have a left.

So a is left here in the second term, I have the negative and I have the 6 bb left. So 6b squared okay and I’ve got the negative and then here now we have 4 c left, so 4c with the negative in front. That’s what do we do anything else anything left over we just put it back inside the brackets and that’s the answer guys have a look!


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