SOLUTION: {{{ (12x^2+5x-2)/(4x-1) }}} I used the solver to simplify this equation but I don't understand the first step. It says {{{(12x^2+5x-2)/(4x-1)}}} turns into {{{(12x+8)/4}}}, but I

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Question 491042:
I used the solver to simplify this equation but I don't understand the first step. It says turns into , but I don't understand how. Please explain this to me.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(12x^2+5x-2)/(4x-1)
---
Factor the numerator:
[12x^2+8x - 3x -2]/[(4x-1)]
--------------------------------
[4x(3x+2)-(3x+2)] / [4x-1]
---
[(3x+2)(4x-1)] / [4x-1]
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= 3x+2
===============
Cheers,
Stan H.

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