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motikmotik
3 years ago
12

Simplify the complex fraction

Mathematics
1 answer:
pychu [463]3 years ago
3 0
We need to find a common denominator for the bottom half of the fraction. To do so, we will first factor x^2-3x-4.

x^2-3x-4 = (x+1)(x-4)

Notice that both denominators have a x+1 in common. To get the common denominator, we need to multiple the \frac{5}{x+1} by its missing piece, (x-4)

\frac{5(x-4)}{(x+1)(x-4)} - \frac{x+4}{(x+1)(x-4)}

Combine:

\frac{4(x-6)}{(x+1)(x-4)}

When dividing two fractions, we can flip the second one and multiply.

\frac{1}{3(x+1)(x-1)} × \frac{(x+1)(x-4)}{4(x-6)}

There is an (x+1) in the numerator and denominator that cancel.

Answer: \frac{x-4}{12(x-1)(x-6)}

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Step-by-step explanation:

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the probability that the writer is British P(B/V) = \frac{0.2}{0.44}

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