Calculus - Multinominal Expansion
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5. (a) Expand 1/sqrt(4-3x), where ...
[See the attached questions file].
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Solution Summary
Neat, step-by-step solutions using Multinomial Theorem to assist with expanding the equation are provided.
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(a) Given expression = 1/[(4 - 3x)^(1/2)] = 1/[{4(1 - 3x/4)}^(1/2)] = (1/2) * [(1 - 3x/4)^(-1/2)]
Let -3x/4 = y and -1/2 = n
We have (1 + y)^n = 1 + ny + n(n - 1)y^2 /2 + n(n - 1)(n - ...
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