Final answer:
To factor the expression 28c-35d, we find the greatest common factor which is 7. This allows us to write the expression as 7(4c - 5d), representing the original expression as a product with a whole number greater than 1.
Step-by-step explanation:
To factor the expression 28c-35d, we will look for the greatest common factor (GCF) shared by 28 and 35.
The GCF of 28 and 35 is 7 because it is the highest number that divides both 28 and 35 with no remainder.
Now we can factor out the 7 from each term.
When we take 7 out of 28c, we are left with 4c, and when we take 7 out of 35d, we are left with 5d.
Therefore, the factored form of the expression is:
7(4c - 5d)
This shows that the original expression is divisible by 7, and the factored form represents a product of a whole number greater than 1 (which is 7 in this case) and a binomial (which is 4c - 5d).