[tex]\frac{({6x}^{2} - x - 35)}{(2x - 5)} = \frac{{6x}^{2} + 14x - 15x - 35}{2x - 5} [/tex]
[tex]= \frac{(2x)(3x + 7) - 5(3x + 7)}{2x - 5} [/tex]
[tex]= \frac{(2x - 5)(3x + 7)}{2x - 5} [/tex]
[tex]= 3x + 7[/tex]
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[tex]\frac{({6x}^{2} - x - 35)}{(2x - 5)} = \frac{{6x}^{2} + 14x - 15x - 35}{2x - 5} [/tex]
[tex]= \frac{(2x)(3x + 7) - 5(3x + 7)}{2x - 5} [/tex]
[tex]= \frac{(2x - 5)(3x + 7)}{2x - 5} [/tex]
[tex]= 3x + 7[/tex]