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SingaporeAdditional MathematicsQuick questions

Binomial Theorem and Partial Fractions

Quick questions on The binomial theorem: N(A)-Level Additional Mathematics

6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is binomial coefficients from Pascal's triangle?
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The coefficients are the numbers in Pascal's triangle, where each number is the sum of the two above it:
What is powers that do not sum to nn?
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In every term the powers of aa and bb must add to nn; if they do not, a term is wrong.
What is sign errors with a minus?
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For (a−b)n(a - b)^n, the signs alternate +,−,+,−+, -, +, - because bb is negative.
What is q1?
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Write down the coefficients for the expansion of a bracket to the power 55. [1 mark]
What is q2?
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Expand (1+x)3(1 + x)^3. [2 marks]
What is q3?
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Expand (1−2x)2(1 - 2x)^2. [2 marks]

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