Adaptive Practice
Binomial Theorem
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Question 1 of 10
⏱ 0:30
Easy
What is the coefficient of \( x^3 \) in the expansion of \( (1 + x)^5 \)?
Medium
Find the term independent of \( x \) in the expansion of \( \left(x + \frac{1}{x}\right)^6 \).
Medium
In the expansion of \( (2x - 3)^4 \), what is the coefficient of \( x^2 \)?
Easy
What is the sum of all the coefficients in the expansion of \( (3x - 2)^5 \)?
Easy
Find the middle term in the expansion of \( (1 + 2x)^{10} \).
Medium
If the coefficient of \( x^3 \) in \( (1 + ax)^5 \) is 60, find the value of \( a \).
Medium
In the expansion of \( \left( x - \frac{1}{x} \right)^6 \), what is the coefficient of \( x^0 \)?
Medium
Evaluate the coefficient of \( x^4 \) in the expansion of \( (1 + 3x)^7 \).
Hard
Find the sum of the coefficients of even powers of \( x \) in the expansion of \( (1 + x)^{10} \).
Medium
If \( (1 + x)^n \) has the term \( 56x^3 \), find \( n \).