Squared Linear Denominators (Edexcel A-Level Mathematics): Quizzes

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Squared Linear Denominators
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What is the typical form of a squared linear denominator?

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

What should you do to simplify 2x+4(x+2)2\frac{2x + 4}{(x + 2)^2}?

Factor numerator then cancel

What is 2x+4(x+2)2\frac{2x + 4}{(x + 2)^2} simplified?

2x+2\frac{2}{x + 2}

What is the common denominator for 1(x+1)2\frac{1}{(x + 1)^2} and 2x+1\frac{2}{x + 1}?

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

What is 1(x+1)2+2x+1\frac{1}{(x + 1)^2} + \frac{2}{x + 1} simplified?

2x+3(x+1)2\frac{2x + 3}{(x + 1)^2}

To solve 3(x2)2=4x2\frac{3}{(x - 2)^2} = \frac{4}{x - 2}, what should you multiply both sides by?

(x2)2(x - 2)^2

What form is used for partial fractions of 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}

In 7x+3(x+2)2=Ax+2+B(x+2)2\frac{7x + 3}{(x + 2)^2} = \frac{A}{x + 2} + \frac{B}{(x + 2)^2}, what is AA?

77

In 7x+3(x+2)2=Ax+2+B(x+2)2\frac{7x + 3}{(x + 2)^2} = \frac{A}{x + 2} + \frac{B}{(x + 2)^2}, what is BB?

11-11

What are solutions to 4(x3)2=1x3+3\frac{4}{(x - 3)^2} = \frac{1}{x - 3} + 3?

x=4x = 4 or x=53x = \frac{5}{3}

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