Solving x's & 2's: Foiling or Multiplying?

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SUMMARY

The discussion centers on the mathematical expression (xsinx)^2 and the appropriate method for simplifying it. The consensus is that the expression can be simplified using the identity (ab)^n = (a^n)(b^n) for integer n, leading to the conclusion that (xsinx)^2 equals x^2sin^2(x). This clarification resolves the confusion between foiling and multiplying terms in the expression.

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  • Understanding of algebraic identities, specifically (ab)^n = (a^n)(b^n).
  • Familiarity with trigonometric functions, particularly sine.
  • Basic knowledge of exponentiation and its properties.
  • Ability to manipulate algebraic expressions.
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  • Study the properties of exponentiation in algebra.
  • Explore trigonometric identities and their applications.
  • Learn about the differences between foiling and multiplying expressions.
  • Practice simplifying complex algebraic expressions with trigonometric functions.
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Students studying algebra and trigonometry, educators teaching mathematical concepts, and anyone looking to enhance their skills in simplifying mathematical expressions.

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Do you foil or do you multiply x's togeather and 2's togeather
 
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Carlosgrahm asks:
(xsinx)^2

--------------------------------------------------------------------------------

Do you foil or do you multiply x's togeather and 2's togeather

(xsinx)^2 = (xsin(x))^{2} = x^{2}sin^{2}(x)
 


Just to elaborate on symbolipoint's post: generally, (ab)^n = (a^n)(b^n) for integer n and a,b != 0.
 

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