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

Algebra ->  Polynomials-and-rational-expressions -> 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       Log On


   

Question 491042: +%2812x%5E2%2B5x-2%29%2F%284x-1%29+
I used the solver to simplify this equation but I don't understand the first step. It says %2812x%5E2%2B5x-2%29%2F%284x-1%29 turns into %2812x%2B8%29%2F4, but I don't understand how. Please explain this to me.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(12x^2+5x-2)/(4x-1)
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Factor the numerator:
[12x^2+8x - 3x -2]/[(4x-1)]
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[4x(3x+2)-(3x+2)] / [4x-1]
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[(3x+2)(4x-1)] / [4x-1]
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= 3x+2
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Cheers,
Stan H.