# Coefficient of Terms in Binomial Expansion

## Find the term independent of x in the expansion of a given binomial

**Problem**

Find the term that is independent of *x* in the expansion of $\left( 2 + \dfrac{3}{x^2} \right)\left( x - \dfrac{2}{x} \right)^6$.

A. 180 | C. -140 |

B. 160 | D. -160 |

## Binomial Theorem

**The Expansion of (a + b) ^{n}**

If $n$ is any positive integer, then

$(a + b)^n = a^n + {_nC_1}a^{n - 1}b + {_nC_2}a^{n - 2}b^2 + \, \cdots \, + {_nC_m}a^{n - m}b^m + \, \cdots \, + b^n$

Where

${_nC_m}$ = combination of *n* objects taken *m* at a time.

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