The value of the expression in the simplified form is f(x) = x+3/x-3
Rational expression
Rational expressions are expressions written as a ratio of two integers or expressions.
Given the rational expression below;
f(x) = x²+5x+6/x²-x-6
Factorize the numerator and denominator
f(x) = x²+3x+2x+6/x²-3x+2x-6
f(x) = x(x+3)+2(x+3)/x(x-3)+2(x-3)
f(x) = (x+3)(x+2)/(x+2)(x-3)
f(x) = x+3/x-3
Hence the value of the expression in the simplified form is f(x) = x+3/x-3
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