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Try MemberstackThis session is on how to expand single brackets and factorise an expression in to brackets. We will expand using multiplication and factorise using division, or alternatively doing the exact opposite of our expansion!
To expand brackets we multiply every term on the outside of the brackets by every term on the inside of the brackets. We will do this individually term by term, and we will only multiply each component part by the same variable. What this means is, we will only multiply our numbers with our numbers, a's with a's, b's with b's and so on. We need to be really careful with our negative terms - remember the minus belongs to the number after it!
Factorising an expression means putting this back into brackets. We need to find a common factor, either a number or letter, that goes in to every term in the expression. We then can divide each term by this, or alternatively we can reverse engineer our expansion technique as shown in the video above. If we are every unsure of our answers we can expand to double check we are correct, and we also always need to remember to take out the largest possible term from each component part.
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