Number and algebraAdditional / Further Maths

Binomial coefficients and specified terms

Find one coefficient or term without expanding the whole bracket.

  • The term containing in is .
  • The coefficient is the numerical factor multiplying .
  • A requested term includes ; a requested coefficient does not.

Example 1

Find the coefficient of in this expansion.

Choose the required power directly.

Example 2

Find the term in in this expansion.

Choose the required power directly.

Remember
The th term corresponds to the power , because the first term has power .

Your turn

Question 1

Find the coefficient of in this expansion.

Check answer
Choose the required power directly.
Question 2

Find the term in in this expansion.

Check answer
Choose the required power directly.
Question 3

Find the coefficient of in this expansion.

Check answer
Choose the required power directly.
Question 4

Find the term in in this expansion.

Check answer
Choose the required power directly.
Question 5

Find the coefficient of in this expansion.

Check answer
Choose the required power directly.
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