WebMar 7, 2024 · Constant term is -32768 In (x^2-x-2)^15, we multiply (x^2-x-2) with itself 15 times. When multiply (x^2-x-2) with (x^2-x-2) for the first time, each term gets multiplied with each term but constant term in their product will be there only when -2 is multiplied by -2 and we get the constant term 4 in the product. So in (x^2-x-2)^15, we get constant term when ( … WebFeb 20, 2024 · Marc will help! The binomial theorem gives the terms as (9Ck)•x k • (-2/x 2) 9-k for k=0,1,...,9. We can rewrite this as (9Ck) (-2) 9-k •x 3k-18. The constant term is the …
What is the constant term in the expansion of (x^2-x-2)^15 ...
WebNov 13, 2024 · The constant term in the expansion of \\((x+\\frac{2}{x})^6\\) is: (a) 156 (b) 165 (c) 162 (d) 160 WebMar 15, 2024 · Explanation: (r + 1)th term in the expansion of (a + b)n is. Cn r an−rbr. Hence (r + 1)th term in the expansion of (2x − 1 x2)9 is. C9 r (2x)9−r( − 1 x2)r. = C9 r ⋅ 29−r ⋅ x9−r ( −1)r x2r. = C9 r ⋅ 29−r ⋅ x9−r−2r( −1)r. = C9 r ⋅ 29−r( − 1)r ⋅ x9−3r. As we are seeking constant term, this means power of x ... fox news wardrobe fail gifs
Mathwords: Constant Term
WebWhat is the constant term in the expansion of $\left(\sqrt{x}+\dfrac5x\right)^{9}$? Show transcribed image text. Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high. Web(1 point) 1. The coefficient ofx4ys in the expansion of (3x +2y)10 is (1014r6!)2 2. The constant term in the expansion of (3x + ^ 2 120 is IS 1 point) Simplify the sums given below. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer Question: (1 point) 1. WebIn this work, the Friedmann–Robertson–Walker (FRW) Universe is considered a thermodynamic system, where the cosmological constant generates the thermodynamic pressure. Using a unified first law, we have determined the amount of energy dE crossing the apparent horizon. Since heat is one of the forms of thermal energy, so the heat flows … blackwell handbook of language development