Simplify the Matrix [[4x+8y],[8x-8y]]

Problem

[[4*x+8*y],[8*x−8*y]]

Solution

1. Identify the common factors in each entry of the matrix.

2. Factor out the greatest common factor from the first entry, 4*x+8*y which is 4

3. Factor out the greatest common factor from the second entry, 8*x−8*y which is 8

4. Extract the scalar 4 from the entire matrix to simplify the expression further.

Final Answer

[[4*x+8*y],[8*x−8*y]]=4*[[x+2*y],[2*x−2*y]]

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