An expression is shown below:

3pf2 − 21p2f + 6pf − 42p2

Part A: Find the greatest common factor, and rewrite the expression by factoring out the greatest common factor.

Part B: Factor the entire expression completely.

3p(f - 7p)( f + 2)

Step-by-step explanation:

First find the GCF - this is 3p which we take out:-

= 3p(f^2 - 7pf + 2f - 14p)

we can factor the terms in the parentheses by grouping:-

= 3p [f(f - 7p) + 2(f - 7p)]

= 3p(f - 7p)( f + 2)

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.