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xz_007 [3.2K]
2 years ago
5

Express (5x+3)/((2x-3)(x+2)) in partial fractions

Mathematics
1 answer:
kolezko [41]2 years ago
4 0

Answer:

(5x+3)/((2x-3)(x+2)) = 3/(2x-3)+1/(x+2)

Step-by-step explanation:

Let

(5x+3)/((2x-3)(x+2)) = A/(2x-3)+B/(x+2)

5x+3=A(x+2)+B(2x-3)

5x+3=x(A+2B)+(2A-3B)

comparing x:

5=A+2B ... (1)

comparing constant:

3=2A-3B ... (2)

By solving:

A=3, B=1

(5x+3)/((2x-3)(x+2)) = 3/(2x-3)+1/(x+2)

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1 / 5^-2

First, let's work out the denominator.
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Now we have 1 / (1/25). 

1 / (1/25)
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The answer is 25!

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2 years ago
Can someone please help me :) (it’s a picture)
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Step-by-step explanation:

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Hope this helps!

4 0
3 years ago
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The pass marks pf a mathematics test is 75% what percentage is the fail marks?
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Step-by-step explanation:

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3 years ago
The price for a car in 2015 was RM 54000. This was 10% higher compared to the year 2014?​
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Answer:

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Step-by-step explanation:

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