The factor 3ab + 3ac – 4db – 4dc can be grouped as
a(3b + 3c) - d(4b + 4c).
What is the difference between factoring and grouping?
We can break large polynomials into groups that transmit a common factor. This allows us to factor each separate group, then mix like terms. This exists named factoring by grouping.
Given: 3ab + 3ac - 4db - 4dc.
Expanding the equation a(3b + 3c): 3ab + 3 a c
=3 a b+3 a c-d(4 b+4 c)
Expanding the equation -d(4 b+4 c): -4bd - 4cd
a(3b + 3c) - d(4b + 4c) = 3ab + 3ac - 4bd - 4cd
Therefore, the correct answer is option b) a(3b + 3c) - d(4b + 4c).
To learn more about factoring and grouping
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