Answer:To find the 4th term of the binomial expansion of (x+y)^10, you can use the binomial theorem. The general form of the binomial theorem is:
(x + y)^n = C(n, 0)x^n y^0 + C(n, 1)x^(n-1) y^1 + C(n, 2)x^(n-2) y^2 + ... + C(n, n)x^0 y^n
Where C(n, r) represents the binomial coefficient "n choose r."
In this case, for (x + y)^10, the 4th term corresponds to n = 10 and r = 3 (remembering that terms are indexed starting from r = 0). So, to find the 4th term, you can use the formula:
C(10, 3)x^(10-3) y^3
1. Calculate C(10, 3):
C(10, 3) = 10! / [3!(10-3)!] = 120
2. Substitute into the formula:
4th term = 120x^7 y^3
Therefore, the 4th term of the binomial expansion of (x + y)^10 is 120x^7 y^3.
Step-by-step explanation:
