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# Maths watch

1. Hey can anyone help me on how to expand and factorise?
2. All you are doing is expanding an expression or equation. I have posted on your other thread on how to factorise. Once you learn factorising expression and equations, we can move on to expanding them because it will give you a better understanding of the topic.
3. It’s not so much with a single question I think I need like a step by step instruction on how to factorise, with an example. I get it once and then I literally forget when we go over it or it comes in an exam question! I know it’s a pain but if you could help... thanks
4. (Original post by july13)
It’s not so much with a single question I think I need like a step by step instruction on how to factorise, with an example. I get it once and then I literally forget when we go over it or it comes in an exam question! I know it’s a pain but if you could help... thanks
http://lmgtfy.com/?q=how+to+factorise
5. You start by multipying everything in the brackets together. For example:
(x+1)^2
x*x=x^2
x*1=x
x*1=x
1*1=1
You then add the terms to get x^2=2x+1
you can then factorise in a number of different ways for example you might want to complete the square or factorise a quadratic.

To factorise a simple expression you remove all of one thing for example x from the terms that contain it and place those terms in some brackets where they are multiplied by what you removed.

Example

x^3+3x^2+6x=0

you remove an x from each term to get x(x^2+3x+6)=0

If i had thought ahead i would have chose a term that would then be factorisable again but this had complex roots.

Lets choose say x^2 + 7x+12=0
(ax^2+bx+c)

you list the factors of 12(c)
3*4
1*12
2*6
and look for factors that add/ subtract to equal 7(b)
For this question it would be 3 and 4
so (x+3)(x+4) multiplied together equal X^2+7X+12=0
therefore x = -3 and -4 a they are the values that the equation equals 0.

If you need more help or my maths was wrong/ambiguous just ask/tell me.
6. Thanks! 👍🏽👍🏽

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