Examples:

Factor the following:  

1)  4x2y + 16y - 8xy2

    First term has factors of: 4, x, x, y
    Second term has factors of: 4, 4, y
    Third term has factors of: 4, 2, x, y, y

    Thus, there are two common factors of the expression: 4 and y. That is
    4y. Once you take out this factor, you are left with x2 in the first 
    term, 4 as the second term, and 2xy as the third term.

    Therefore: 4x2y + 16y - 8xy2 = 4y(x2 + 4y -2xy).

2)  5ab - 25b2 + (5/2)a
    = 5[ab - 5b2 + (1/2)a]  --the common factor is 5

3)  (1/2)y3 - 6xy2 - 11y
    = (1/2)y[y2 - 12xy - 22]   --the common factor is (1/2)y

4)  (x - 2)(x5 + 3y) - (x + 3)(x - 2) + 53(x - 2)2
    = (x - 2)[(x5 + 3y) - (x + 3) + 53(x - 2)]
           --common factor is (x - 2)


**Note: In later questions, not specifically focused on factoring, factoring 
        is large part of simplifying.

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