# In-Depth Look: How to Use Common Factors to Factorise ()^

## Transcript

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!

**✓ **Unlock your full learning potential—download our expertly crafted slide files for free and transform your self-study sessions!

**✓ **Discover more enlightening videos by visiting our YouTube channel!

Algebra Algebraic Fractions Arc Binomial Expansion Capacity Common Difference Common Ratio Differentiation Double-Angle Formula Equation Exponent Exponential Function Factorise Functions Geometric Sequence Geometric Series Index Laws Inequality Integration Kinematics Length Conversion Logarithm Logarithmic Functions Mass Conversion Mathematical Induction Measurement Perfect Square Perimeter Prime Factorisation Probability Product Rule Proof Pythagoras Theorem Quadratic Quadratic Factorise Ratio Rational Functions Sequence Sketching Graphs Surds Time Transformation Trigonometric Functions Trigonometric Properties Volume

## Responses