I am trying to simply G(adsbygoogle = window.adsbygoogle || []).push({}); _{1}= G_{1}(1+F_{1}) / (1 + G_{1}F_{2}(1+F_{1})) in terms of G_{1}, G_{2}, H_{2}, and H_{3}where F_{1}= G_{2}/(1-G_{2}H_{2}) and F_{2}= G_{3}/ (1-G_{3}H_{3})

i got the result

(G_{1}(1-G_{2}H_{2})(1-G_{3}H_{3}) + G_{1}G_{2}(1-G_{3}H_{3})) / ((1-G_{2}H_{2})(1-G_{3}H_{3}) + G_{1}G_{3}(1-G_{2}H_{2}) + G_{1}G_{2}G_{3})

however, the book gives the result with a +1 in the denominator so their denominator is 1 + (1-G_{2}H_{2})(1-G_{3}H_{3}) + G_{1}G_{3}(1-G_{2}H_{2}) + G_{1}G_{2}G_{3}

i did the problem 3 times and got the same answer. is the solution in the book a typo, or am i doing something wrong?

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# Homework Help: Simplifying an expression

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