x 1 3 expansion Solution Using x 1 3 expansion formula x 1 3 x 3 3x 2 x 1 Comparing and putting the values 1 t 3 t 3 3t 2 t 1 Answer The expansion of 1 t 3 is t3 3t2 t 1 Example 3 Simplify 2x 1 3 using x 1 3 expansion formula
How do you expand x 1 3 Algebra Polynomials and Factoring Multiplication of Polynomials by Binomials 1 Answer Jim G Jul 25 2017 x3 3x2 3x 1 Explanation note that x a 3 x3 a a a x2 a a a a a a x a3 x 1 3 a 1 x 1 3 x3 1 1 1 x2 1 1 1 x 1 3 x3 Expand Using the Binomial Theorem x 1 3 x 1 3 x 1 3 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 3 k 0 3 3 k k x 3 k 1 k k 0 3 3 3 k k x 3 k 1 k Expand the summation
x 1 3 expansion
x 1 3 expansion
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The Binomial Theorem Fractional Powers Expanding 1 2x 1 3 YouTube
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Expand Using the Binomial Theorem 1 x 3 1 x 3 1 x 3 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 3 k 0 3 3 k k 1 3 k x k k 0 3 3 3 k k 1 3 k x k Expand the summation Expand x 1 3 Wolfram Alpha Natural Language Math Input Extended Keyboard Examples Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports
Get the free Binomial Expansion Calculator widget for your website blog Wordpress Blogger or iGoogle Find more Mathematics widgets in Wolfram Alpha Explanation Binomial theorem gives the expansion of 1 x n as 1 x n 1 nx n n 1 2 x2 n n 1 n 2 3 x3 n n 1 n 2 n 3 4 x4 Hence 1 x 1 3 1 1 3 x 1 3 1 3 1 2 x 2 1 3 1 3 1 1 3 2 3 x 3 1 3 1 3 1 1 3 2 1 3 3 4 x 4
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X 2 x 6 0 x 3 gt 2x 1 line 1 2 3 1 f x x 3 prove tan 2 x sin 2 x tan 2 x sin 2 x frac d dx frac 3x 9 2 x sin 2 theta sin 120 lim x to 0 x ln x int e x cos x dx int 0 pi sin x dx sum n 0 infty frac 3 2 n Show More The binomial theorem or binomial expansion expresses the algebraic expansion of powers of a binomial Answer The value of x 1 3 is x 3 3x 2 3x 1 Here is a comprehensive expansion to this binomial expression Explanation x y a a b 0 a b xa byb x y a b 0 a a b x a b y b
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x 1 3 expansion - Explanation Binomial theorem gives the expansion of 1 x n as 1 x n 1 nx n n 1 2 x2 n n 1 n 2 3 x3 n n 1 n 2 n 3 4 x4 Hence 1 x 1 3 1 1 3 x 1 3 1 3 1 2 x 2 1 3 1 3 1 1 3 2 3 x 3 1 3 1 3 1 1 3 2 1 3 3 4 x 4