Simplifying expressions (AQA GCSE Further Maths): Flashcards

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Simplifying expressions
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Simplifying an algebraic expression

Writing it in its most compact form possible

Like terms

Terms with same variables raised to same powers

How to collect like terms

Combine their coefficients

Expanding brackets

Multiply everything inside by the term outside

Negative sign before brackets rule

Multiply ALL terms inside by the negative number

Multiplying algebraic terms: coefficients

Multiply the numerical coefficients together

Multiplying powers of same variable

Add the powers (index law)

Simplifying algebraic fractions method

Divide numerator and denominator by their HCF

Factorising

Reverse of expanding - taking out the HCF

Finding HCF when factorising variables

Take the lowest power of each variable in all terms

Adding/subtracting algebraic fractions

Find a common denominator first

Common denominator to use

Lowest common multiple (LCM) of all denominators

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