- #1
socialcoma
(2X+Y)^5
can someone tell me how to expand this?
can someone tell me how to expand this?
The formula for expanding (2X+Y)^5 is (2X+Y)(2X+Y)(2X+Y)(2X+Y)(2X+Y).
You can start expanding (2X+Y)^5 by using the binomial theorem, which states that (a+b)^n = Σ(n, k=0) (n choose k) a^(n-k) b^k, where n is the exponent, a and b are the terms, and Σ(n, k=0) represents the summation of all possible combinations.
The coefficients for each term in the expansion of (2X+Y)^5 are 1, 5, 10, 10, 5, and 1.
Yes, you can simplify the expanded form of (2X+Y)^5 by combining like terms. For example, 5(2X)^3Y^2 can be simplified to 40X^3Y^2.
The expansion of (2X+Y)^5 can be used in various fields such as engineering, physics, and economics. It can help you model and solve problems involving combinations, probabilities, and binomial distributions.