GCSE
GCSE Mathematics so Easy
Algebra
Expansion, Substitution, Factorisation Factors , Expression Simple Strategy
Year
2024
Expand And Simplify
Here we will learn how to expand and simplify algebraic expressions. First we expand the brackets, then we collect the like terms to simplify the expression.
At the end you’ll find expanding brackets worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.
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Braking it down
What does ‘expand and simplify’ mean?
In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms.
Expanding brackets (or multiplying out) is the process by which we remove brackets.
It is the reverse process of factorisation. To expand brackets we multiply everything outside of the bracket, by everything inside of the bracket.
Once we have expanded the brackets we can simplify the expression by collecting the like terms.
E.g.
If we expand and simplify2(x+5)+3(x−2)2(x+5)+3(x−2)
we will get2(x+5)+3(x−2)=2x+10+3x−6=5x+42(x+5)+3(x−2)=2x+10+3x−6=5x+4
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