nasia269 nasia269
  • 02-05-2018
  • Mathematics
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HELP PLEASE Simplify the rational expression. State any excluded values. x^2-12x+35/x^2-3x-10

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Allysia123
Allysia123 Allysia123
  • 02-05-2018

[tex]\frac{{x}^{2} - 12x + 35 }{ {x}^{2} - 3x - 10 } [/tex]
Factorise both the term by splitting the mid term and you'll get


[tex] \frac{ {x}^{2} - 5x - 7x + 35}{ {x}^{2} - 5x + 2x - 10 } \\ = \frac{x(x - 5) - 7(x - 5)}{x(x - 5) + 2(x - 5)} \\ = \frac{(x - 7)(x - 5)}{(x + 2)(x - 5)} \\ = \frac{x - 7}{x + 2} [/tex]
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