SOLUTION: simplify the fractional expression: {{{ sqrt(1+(x^3 - 1/4x^3)^2)}}} This is the last question i have in this section an stumped on where to start. Tinking to start/: {{{ s

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Question 544648: simplify the fractional expression:

This is the last question i have in this section an stumped on where to start. Tinking to start/:

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then

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next
simplify:

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Where do i go from here. Assuming i have done it correctly so far.

Answer by friesr(113)   (Show Source): You can put this solution on YOUR website!
okay, took me a few tims thru but got the answer. Thanks to JBarnum for getting me thinking of factoring.
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factor (a - b)^2 = a^2 - 2ab - b^2

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combine like terms

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multiply thru by x^6/x^6 to get rid of the x^6 in the denominator

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let U = x^6

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Factor

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bring back in the X^6 in place of U.

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Multiply thru by 4/4 to get rid of 1/4 fraction

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Simplify

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Solution

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