Binomial theorem

Lessons

• 1.
  Expand ${\left( {a + b} \right)^4}$, using:
  a)

  Pascal's Triangle
  
  
  b)

  Binomial Theorem
  
  

---

• 2.
  Expand:
  a)

  ${\left( {5x + 2} \right)^3}$
  
  
  b)

  ${\left( {2x - 3y} \right)^4}$
  
  

---

• 3.
  In the expansion of ${\left( {\frac{1}{{7{x^2}}} - {x^3}} \right)^{10}}$ , determine:
  a)

  the 4th term
  
  
  b)

  the middle term
  
  
  c)

  the constant term
  
  

---

• 4.
  In the expansion of ${\left( {3 - 2x} \right)^8}$ , determine the coefficient of the term containing ${X^5}$.

---