Answer :
The difference between the x/(x²+3x+2) - 1/[(x+2)(x+1)] then the correct option is D (x-1)/(x²+3x+2).
How to form mathematical expressions from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.
For example, if it is asked to increase some item by 4, then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.
x/(x²+3x+2) - 1/[(x+2)(x+1)]
x² + 3x + 2 = x² + 2x + x + 2
= x(x + 2) + (x + 2)
= (x + 2)(x + 1)
= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]
= (x-1)/[(x+2)(x+1)]
= (x-1)/(x²+3x+2)
Thus, the correct option is D (x-1)/(x²+3x+2).
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