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Further Maths Questions

Question 736:

Simplify; \(\frac{\sqrt{5} + 3}{4 - \sqrt{10}}\)

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A \(\frac{2}{3}\)\(\sqrt{5}\) + \(\frac{5}{6}\sqrt{2}\) + 2
B \(\frac{2}{3}\)\(\sqrt{5}\) + \(\frac{5}{6}\sqrt{2}\) + \(\frac{1}{2}\sqrt{10}\)
C \(\frac{2}{3}\)\(\sqrt{5}\) + \(\frac{5}{6}\sqrt{2}\) + \(\frac{1}{2}\sqrt{10}\) + 2
D \(\frac{2}{3}\)\(\sqrt{5}\) - \(\frac{5}{6}\sqrt{2}\) + \(\frac{1}{2}\sqrt{10}\) + 2

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Question 737:

If \(\frac{6x + k}{2x^2 + 7x - 15}\) = \(\frac{4}{x + 5} - \frac{2}{2x - 3}\). Find the value of k.

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A - 21
B - 22
C - 24
D - 25

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Question 738:

Differentiate \(\frac{x}{x + 1}\) with respect to x.

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A \(\frac{x}{x + 1}\)
B \(\frac{-1}{x + 1}\)
C \(\frac{1 - x}{(x + 1)^2}\)
D \(\frac{1}{(x + 1)^2}\)

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Question 739:

Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the value of (x - y).

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A 5
B 3
C - 3
D - 5

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Question 740:

Determine the coefficient of x\(^3\) in the binomial expansion of ( 1 + \(\frac{1}{2}\)x)

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A \(\frac{5}{8}\)
B \(\frac{5}{6}\)
C \(\frac{5}{4}\)
D \(\frac{5}{2}\)

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