Binomial theorem

Lessons

1. Expand ${\left( {a + b} \right)^4}$, using:
   1. Pascal's Triangle
   2. Binomial Theorem
2. Expand:
   1. ${\left( {5x + 2} \right)^3}$
   2. ${\left( {2x - 3y} \right)^4}$
3. In the expansion of ${\left( {\frac{1}{{7{x^2}}} - {x^3}} \right)^{10}}$ , determine:
   1. the 4th term
   2. the middle term
   3. the constant term
4. In the expansion of ${\left( {3 - 2x} \right)^8}$ , determine the coefficient of the term containing ${X^5}$.