Partial Fractions (AQA A-Level Mathematics): Flashcards

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Squared Linear Denominators
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Form of squared linear denominator

(ax+b)2(ax + b)^2

First step to simplify 2x+4(x+2)2\frac{2x+4}{(x+2)^2}

Factor the numerator

Needed when adding fractions w/ diff. denoms

Common denominator

Common denom: 1(x+1)2\frac{1}{(x+1)^2} + 2x+1\frac{2}{x+1}

(x+1)2(x+1)^2

Method to clear fractions w/ squared denoms

Multiply by the squared expression

Partial fraction form for 7x+3(x+2)2\frac{7x+3}{(x+2)^2}

Ax+2+B(x+2)2\frac{A}{x+2} + \frac{B}{(x+2)^2}

After multiplying through in partial fractions

Expand and equate coefficients

Method to find A, B in partial fractions

Equate x-terms and constant terms

What to look for when simplifying squared denom fractions

Common factors to cancel

Tool for solving 3x217x+20=03x^2 - 17x + 20 = 0

Quadratic formula

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