Answer:
Step-by-step explanation:
We are given the expression:
There are no common factors between the four numbers, however the first two have a common factor and the last two do too. Therefore, we can factor by grouping.
Group the first two terms and the last two.
Find the greatest common factor (GCF) of the first group. It is 5g². Factor it out of the first group. You can do this by dividing both terms by the GCF.
- 10g³/5g²= 2g
- -25g²/5g² = -5
Repeat with the second group. The GCF is 2.
- 4g/2 = 2g
- -10/2= -5
There is another GCF: 2g-5. We can factor this out of both terms.
- 5g²(2g-5)/2g-5= 5g²
- 2(2g-5)/ 2g-5=2
This cannot be factored further, so it is the answer.