Solving for x in a Simplified Problem: (14-2x)/π = (196+4x)/(π2)

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The discussion focuses on simplifying the expression π((14-2x)/π)² and the confusion surrounding the appearance of -56x in the solution (196-56x+4x²)/π. Participants clarify that using the property (a/b)ⁿ = aⁿ/bⁿ leads to the correct simplification of ((14-2x)/π)². The issue arises from misunderstanding how to apply this property correctly in the context of the original equation. The conversation highlights the importance of careful algebraic manipulation to avoid errors in simplification.
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-This is what I need to simplify.
π((14-2x)/π)2

-This is what I got.
(196+4x)/(π2)

-This is the solution.
(196-56x+4x2)/π

Really unsure of where that -56x is coming from in the solution.
 
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redbull1990 said:
-This is what I need to simplify.
π((14-2x)/π)2

this part
((14-2x)/π)2

(a/b)n=an/bn

so ((14-2x)/π)2 = (14-20)22
 
The problem is that π((14-2x)/π)2 = n[(14-2x)2/n2] and not n[(142 + (-2x)2)/n2] the way you solved it.

Edit: Got beat to it.
 
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