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Algebra (Fractions (Subtraction (Can only be subtracted if denominators…
Algebra
Fractions
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Division
Multiply the first fraction by the reciprocal of the second fraction. - To form the reciprocal of a fraction, turn the fraction upside down.
Subtraction
Can only be subtracted if denominators are the same, just add numerators, not denominators if the denominators are the same.
If the denominators are different, then obtain the common denominator by multiplying - cross multiply
Harder examples involve denominators that already have a common factor, so the common denominators is not necessarily the product of the denominators.
Addition
Can only be added if denominators are the same, just add numerators, not denominators if the denominators are the same.
If the denominators are different, then obtain the common denominator by multiplying - cross multiply
Harder examples involve denominators that already have a common factor, so the common denominators is not necessarily the product of the denominators.
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Quadratics
Quadratics
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The number by itself, usually at the end is called the constant term
Multiply the constant term, add to the coefficient of x
It is more difficult to factorise quadratics where the coefficient of x2 is not 1. This is because the rule about the two numbers at the end of each bracket adding to the coefficient of x no longer works. One approach is to look for a common factor first, then factorise.
Harder quadratic factorising, guess and check methods can be used.
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Factorising
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Instead of looking for a common factor for all terms, examine pairs for a common factor
Some rearrangement may be needed first, to obtain convenient pairs
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