expand x 1 2x 1 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 finance music
Ex 7 1 1 Expand the expression 1 2x 5 1 2x 5 We know that a b n nC0 an nC1 an 1 b1 nC2 an 2 b2 nCn 1 a1 bn 1 nCn bn Hence a b 5 5 0 5 0 a5 5 1 5 1 a4 b1 5 2 5 2 a3 b2 5 3 5 3 Learn about expand using our free math solver with step by step solutions Skip to main content 2x 6 2 3 4x 4 x 1 1 x 9 x 9 Quiz 5 problems similar to 7 2x 4 5 problems similar to 2x 6 2 5 problems similar to x 1 1 Back to top English
expand x 1 2x 1
expand x 1 2x 1
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Expand Each Of The Following Using Suitable Identities x 2y 4x 2 2x
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Expand Using Identity 2x 3y 3
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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 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 finance music
We need to expand f x in terms of x 1 then a 1 f x 1 2x 3x 2 4x 3 then f 1 1 2 3 4 2 f x 2 6x 12x 2 then f 1 2 6 12 8 As biggl dfrac1 1 x biggr n 1 dfrac n 1 1 x n you can derive term by term the power series expansion of dfrac1 1 x 1 x x 2 dots x m dotsm
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Since 2x 1 1 2x we can get the expansion you want by simply multiplying by 1 frac 1 2x 1 1 2x 4x 2 8x 3 cdots The interval of convergence for this is also 1 2 x 1 2 How do you use the Binomial Theorem to expand 1 x 1 The answer is 1 x x2 x3 x4 The binomial series is 1 y n k 0 n k yk 1 ny n n 1 2 y2 n n 1 n 2 3 y3 Here we have y x n 1 Therefore
1 x 1 2 1 x 2 1 8x 2 1 16x 3 5 128x 4 According to binomial series 1 a n 1 na n n 1 2 a 2 n n 1 n 2 3 a 3 n n 1 n 2 n 3 4 a 4 Let us expand the expression inside the summation to collect the terms of degree 0 1 and 2 in x To find the terms of the expanded product you must choose one term from each binomial factor in the product The degree of the term will be determined by how many times you choose the 1 x term
Solved Consider The Binomial Theorem To Expand 2x 3y 4 What Is
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12 4l Expand x 3 x 4 2x 1 YouTube
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expand x 1 2x 1 - 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