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To expand an expression using the distributive property, multiply each term inside a set of parentheses by each term outside the parentheses, and then simplify by combining like terms.
Algebra. Expand Using the Binomial Theorem (x-2)^4. (x − 2)4 ( x - 2) 4. Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n = n ∑ k=0nCk⋅(an−kbk) ( a + b) n = ∑ k = 0 n. . n C k ⋅ ( a n - k b k). 4 ∑ k=0 4! (4− k)!k! ⋅(x)4−k ⋅(−2)k ∑ k = 0 4. .
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27 Ιαν 2017 · There are ""_4C_1=4 ways to make an x^3 * 2 term—using the 2 from binomials 1, 2, 3, and 4 (multiplied with the x's from the others). Continuing this way, there will always be ""_4C_k ways to make an x^(n-k) * 2^k term.
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This expand calculator will allow you expand an expression you provide, showing all the relevant steps. It can be a relatively simple expression like 2(x-1)^2, or it could be something more complex involving some compounded functions.
