B. (x-4)(3x2-5)
your welcome
sorry misread the question
Answer: This is a type of Synthesis reaction.
Explanation:
- Synthesis reaction is a type of chemical reaction in which two or more substances combine to form a single substance.

- Decomposition reactions are a type of chemical reactions in which a substance breaks down into two or more substances.

- Combustion reaction is a type of chemical reaction in which a hydrocarbon reacts with oxygen gas to produce carbon dioxide and water.

For the given reaction:

Here, 2 substances are combining together to form a single substance. Hence, it is considered as a synthesis reaction.
So for example B(4,1) so x=4, y=1
->B'(4-2,1-4)
->B'(2,-3)
->A'(1-2,1-4)
->A'(-1,-3)
->C'(4-1,-2-4)
->C'(3,-6)
->D'(1-2,-2-4)
->D'(-1,-6)
so the image of the rectangle ABCD->A'B'C'D'