Binomial theorem

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Examples

Lessons

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

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