Find the value of the coefficient of x^4 in the expansion of (x - 2)^6.
Practice Questions
1 question
Q1
Find the value of the coefficient of x^4 in the expansion of (x - 2)^6.
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Using the binomial theorem, the coefficient of x^4 in (a + b)^n is given by nCk * a^(n-k) * b^k. Here, n=6, a=x, b=-2, and k=2. Thus, the coefficient is 6C2 * (1)^4 * (-2)^2 = 15 * 4 = 60.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the value of the coefficient of x^4 in the expansion of (x - 2)^6.
Solution: Using the binomial theorem, the coefficient of x^4 in (a + b)^n is given by nCk * a^(n-k) * b^k. Here, n=6, a=x, b=-2, and k=2. Thus, the coefficient is 6C2 * (1)^4 * (-2)^2 = 15 * 4 = 60.
