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2 years ago

Simplified form of 2460−78+6884

Mathematics

1 answer:

Rzqust [24]2 years ago

3 0

Answer:

4502

Step-by-step explanation:

6884+78=6962

6962-2460=4502

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The partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

<h3>How to determine the decomposition?</h3>

The fraction is given as:

$\frac{8x + 19}{(x + 8)(x - 1)}$

Split the fraction as follows:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}$

Take the LCM

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}$

Cancel the common factors

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By comparison, we have:

Ax + Bx = 8x

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Add both equations

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Divide by 9

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Substitute B = 3 in A + B = 8

A + 3 = 8

Solve for A

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So, we have:

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Hence, the partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Read more about partial fraction at:

brainly.com/question/12783868

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