Adaptive Practice
Binomial Theorem
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Question 1 of 9
⏱ 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 \( \left(x + \frac{2}{x}\right)^6 \).
Easy
Find the sum of the coefficients in the expansion of \( (2x - 3)^4 \).
Easy
In the expansion of \( (1 + x)^{10} \), what is the coefficient of \( x^4 \)?
Medium
Find the middle term in the expansion of \( \left(2x - \frac{1}{2x}\right)^8 \).
Hard
If the 3rd term in the expansion of \( (x + a)^n \) is \( 60x^2 a^{n-2} \), find \( n \).
Medium
Find the sum of the coefficients of even powers of \( x \) in the expansion of \( (1 + x)^{10} \).
Medium
In the expansion of \( \left(3 + \frac{1}{x}\right)^5 \), find the coefficient of \( x^{-3} \).
Easy
If \( (1 + x)^n = 1 + 6x + 15x^2 + 20x^3 + \cdots \), find \( n \).