Binomial theorem

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  1. Expand (a+b)4{\left( {a + b} \right)^4}, using:
    1. Pascal's Triangle
    2. Binomial Theorem
  2. Expand:
    1. (5x+2)3{\left( {5x + 2} \right)^3}
    2. (2x3y)4{\left( {2x - 3y} \right)^4}
  3. In the expansion of (17x2x3)10{\left( {\frac{1}{{7{x^2}}} - {x^3}} \right)^{10}} , determine:
    1. the 4th term
    2. the middle term
    3. the constant term
  4. In the expansion of (32x)8{\left( {3 - 2x} \right)^8} , determine the coefficient of the term containing X5{X^5}.
    Topic Notes
    The Binomial Theorem is another method to help us expand binomials in a faster manner. It is particularly useful when we work on binomial expansions that involve binomials raised to high powers.

    binomial theorem