Question
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Tutor-Verified Answer
Answer
La expresión
se expande a:
Solution
Simplify the expression by following steps:
- step0: Evaluate the power:
- step1: Expand the expression:
- step2: Calculate:
La expresiónse expande a:
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Beyond the Answer
You might find it interesting that the expansion of polynomials can be traced back to the works of ancient mathematicians, with roots in Indian mathematics as early as the 7th century! The binomial theorem, which can be used for expansions like this, was formally discovered by Sir Isaac Newton in the 17th century. He laid the groundwork for the methods we use today!
When tackling the expression
, a common mistake is forgetting to apply the binomial theorem correctly. Make sure you account for each term when expanding: you’ll need to calculate combinations and raise individual terms to the appropriate power! This can help avoid errors in coefficients and powers, leading to a much smoother solving experience!