[(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-24)
(3x-7+x+5)(3x-7-x-5)/[4(x-6)]
=(4x-2)(2x-12)/[4(x-4)]
=4(x-1)(x-6)/[4(x-6)]
=x-1

(3x-7+x+5)(3x-7-x-5)/[4(x-6)]
=(4x-2)(2x-12)/[4(x-4)]
=2(2x-1)(x-6)/[2(x-6)]
=2x-1