Algebraic Fractions (AQA GCSE Maths): Flashcards

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Algebraic fractions
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Algebraic fractions contain

Variables (letters) alongside numbers

Simplifying algebraic fractions

Cancel common factors from numerator and denominator

Multiplying algebraic fractions

Multiply numerators together and denominators together

Dividing algebraic fractions

Flip the second fraction and multiply

Adding/subtracting algebraic fractions needs

A common denominator

DOTS stands for

Difference of Two Squares

Can only cancel

Factors (multiplied terms), not added/subtracted terms

Simplify x2y3xy2\frac{x^2y^3}{xy^2}

xyxy

Common denominator for (x+3)(x+3) and (x2)(x-2)

(x+3)(x2)(x+3)(x-2)

Why can't you cancel xx in x+1x\frac{x+1}{x}

xx is added in numerator, not a factor

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