Find the GCF of each product. Please show the steps so I can work the problem by myself. it is 6y squared - 3y
(6y^2-3y)(y+7)
3y(2y-1)(y+7) 3y will be the greatest common factor, as each term when you multiply it out will have a 3y.
In case you want to work it out..
3y(2y^2+13y -7)
6y^3 + 39y^2 -21y and the GCF is of course 3y.
5+2y-2=6y+5-3y
x/+1/8
To find the GCF (Greatest Common Factor) of a product, you need to factor each term in the product and identify the common factors.
Step 1: Factor each term in the product separately.
For the term (6y^2-3y), you can factor out the common factor of y:
6y^2 - 3y = 3y(2y - 1)
For the term (y+7), it is already factored.
The factored product becomes:
(3y)(2y - 1)(y + 7)
Step 2: Identify the common factors.
Looking at the factored terms, the greatest common factor is 3y, since it is present in each term: (3y)(2y - 1)(y + 7)
Therefore, the GCF of the given product is 3y.
If you want to continue simplifying the expression, you can multiply it out:
3y(2y - 1) = 6y^2 - 3y
(3y)(6y^2 - 3y)(y + 7) = 3y(6y^2 - 3y)(y + 7)
= 3y(2y^2 + 13y - 7)
The final simplified expression is 3y(2y^2 + 13y - 7).