Binomial theorem

Binomial theorem

The Binomial Theorem is a convenient way to multiply a binomial by itself. It can be applied to the powers of any binomials.

Lessons


binomial theorem
  • 1.
    Expand (a+b)4{\left( {a + b} \right)^4}, using:
    a)
    Pascal’s Triangle

    b)
    Binomial Theorem


  • 2.
    Expand:
    a)
    (5x+2)3{\left( {5x + 2} \right)^3}

    b)
    (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:
    a)
    the 4th term

    b)
    the middle term

    c)
    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}.