Factorise 5ac+10ab-25ad
looking for common (shared) factors in each of the terms
5 * a * (c + 2b - 5d)
To factorize the expression 5ac + 10ab - 25ad, we need to find the common factors of the terms. In this case, we can see that all three terms have a common factor of 5. So, we can factor out 5 from each term:
5ac + 10ab - 25ad = 5(ac + 2ab - 5ad)
Now, let's look for any additional common factors among the terms inside the parentheses. In this case, we can see that each term inside the parentheses has a common factor of a. So, we can factor out a as well:
5(ac + 2ab - 5ad) = 5a(c + 2b - 5d)
Therefore, the fully factorized form of the expression 5ac + 10ab - 25ad is 5a(c + 2b - 5d).