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Home > CCA > Chapter 8 > Lesson 8.1.1 > Problem 8-10

8-10.
  1. 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:

  2. Since 6 is the greatest common factor of both terms, 12x + 18 may be rewritten: 12x + 18 = 6(2x + 3).

  3. Here x is a common factor of every term, so x2 + xy + x may be rewritten: x2 + xy + x = x(x + y + 1).

  4. Use the greatest common factor to rewrite each sum as a product. Homework Help ✎

    1. 4x + 8

    2. 10x + 25y + 5

    3. 2x28x

    4. 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).