How do you simplify $6x^2 - 7x + 2 div 6x^2 + 5x - 6$ ?

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Answer 1 · 2017-08-20T06:43:58

$(2x-1)/(2x+3)$

Given $6x^2-7x+2 -: 6x^2+5x-6$

$rArr [6x^2-(4+3)x+2]/[6x^2+(9-4)x-6]$

$rArr [6x^2-4x-3x+2]/[6x^2+9x-4x-6]$

$rArr [2x(3x-2)-1(3x-2)]/[3x(2x+3)-2(2x+3)]$

$rArr[(3x-2)(2x-1)]/[(3x-2)(2x+3)]$

$rArr (2x-1)/(2x+3)$

How do you simplify 6x^2 - 7x + 2 div 6x^2 + 5x - 66x^2 - 7x + 2 div 6x^2 + 5x - 6?