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

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