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What is the difference x +5/ x +2 - x + 1/x ^2 + 2x?
5 months ago
Q:
What is the difference x +5/ x +2 - x + 1/x ^2 + 2x?
Accepted Solution
A:
The difference will be given by:
(x +5)/ (x +2) - (x + 1)/(x ^2 + 2x)
=(x +5)/ (x +2) - (x + 1)/[x (x + 2)]
the LCM is x(x+2)
thus the difference will be:
[x(x+5)-(x+1)]/(x (x + 2))
=[x^2+5x-x-1]/[x(x+2)]
=(x^2-4x-1)/[x(x+2)]
Answer:(x^2-4x-1)/[x(x+2)]