Linear Denominators (AQA A-Level Mathematics): Flashcards

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Linear Denominators
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Form of a linear expression

ax+bax + b where aa and bb are constants

Linear denominator

Denominator that is a linear expression

Method to simplify fraction with linear denominator

Find GCF of numerator & denominator, divide both by GCF

GCF stands for

Greatest Common Factor

Simplify: 2x+6x+3\frac{2x + 6}{x + 3}

22

To add fractions with different linear denominators

Find common denominator

Common denominator for 1x+2\frac{1}{x+2} and 1x−1\frac{1}{x-1}

(x+2)(x−1)(x+2)(x-1)

To solve equation with linear denominators

Multiply both sides by LCD to eliminate fractions

LCD stands for

Least Common Denominator

After eliminating fractions, equation type may be

Quadratic

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