In a previous course you used the Distributive Property and common factors to change expressions written as sums into expressions written as products. For example:
Since 6 is the greatest common factor of both terms, 12x + 18 may be rewritten: 12x + 18 = 6(2x + 3).
Here x is a common factor of every term, so x2 + xy + x may be rewritten: x2 + xy + x = x(x + y + 1).
Use the greatest common factor to rewrite each sum as a product. Homework Help ✎
4x + 8
10x + 25y + 5
2x2 − 8x
9x2y + 12x +3xy
Factor out the greatest common factor. In this case, it is 4.
What factor do all of the terms have in common?
5(2x + 5y + 1)
In this case, the GCF will be 2x.
Refer to the hints in parts (a) and (b).