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solniwko [45]
3 years ago
13

HELP PLEASE Simplify the rational expression. State any excluded values. x^2-12x+35/x^2-3x-10

Mathematics
1 answer:
Alborosie3 years ago
5 0

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


\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}
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