+327 Write the expression as a simplified rational expresion. Please show work.
thank you so much for all you help!!!
+6251 \(\dfrac{\dfrac{4}{2x-1}+\dfrac{1}{4}}{x+1}=\\ \dfrac{\dfrac{16+2x-1}{4(2x-1)}}{x+1} = \\ \dfrac{15+2x}{4(2x-1)(x+1)}\)
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+129852 This is made more simple if we take numerator and denominator separately
4 1
_____ + ____
2x - 1 4
4 (4) + 1(2x - 1) 16 + 1 (2x - 1)
_______ ________ = _____________ =
4(2x - 1) 4 (2x - 1) 4 ( 2x - 1)
16 + 2x - 1 15 + 2x
__________ = _________ = a / 1
4 ( 2x - 1) 4 ( 2x - 1)
Note that we are now dividing this result by x + 1 which is the same as (x + 1) / 1 = b / 1
So.....we have [ a / 1 ] ÷ [ b / 1] = [ a / 1 ] x [ 1 / b ] =
15 + 2x 1 15 + 2x
_________ x ______ = _____________
4 (2x - 1) x + 1 4(2x - 1) ( x + 1)
