{(3x-7)^2-(x+5)^2}/(4x-24)

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{(3x-7)^2-(x+5)^2}/(4x-24){(3x-7)^2-(x+5)^2}/(4x-24){(3x-7)^2-(x+5)^2}/(4x-24)[(3x-7)^2-(x+5)^2]/(4x

{(3x-7)^2-(x+5)^2}/(4x-24)
{(3x-7)^2-(x+5)^2}/(4x-24)

{(3x-7)^2-(x+5)^2}/(4x-24)
[(3x-7)^2-(x+5)^2]/(4x-24)
=(9x^2-42x+49-x^2-10x-25)/[4(x-6)]
=(8x^2-52x+24)/[4(x-6)]
=4(2x^2-13x+6)/[4(x-6)]
=(2x^2-13x+6)/(x-6)
=[(x-6)(2x-1)]/(x-6)
=2x-1

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