Factorising algebraic expression with common factors .How to solve 5ac+10ab-25ad
5ac+10ab-25ad = 5a*c + 5a*2b - 5a*5d = 5a(c+2b-5d)
5ab plus 10ab plus 25ad
To factorize the algebraic expression 5ac + 10ab - 25ad, we need to find the common factors among the terms.
Step 1: Find the common factor:
Looking at the coefficients (numbers in front of the variables), we can see that 5, 10, and 25 have a common factor of 5. So, we can factor out 5 from each term.
Step 2: Factor out the common factor:
Taking out the common factor of 5, we can rewrite the expression as:
5(ac + 2ab - 5ad)
So, the factorized form of the expression 5ac + 10ab - 25ad is 5(ac + 2ab - 5ad).
To factorize the algebraic expression 5ac + 10ab - 25ad, we need to look for any common factors among the terms. In this case, you may notice that all three terms have a common factor of 5.
Here are the steps to factorize the expression:
Step 1: Identify the common factor.
In this case, the common factor among the terms is 5.
Step 2: Take out the common factor from each term.
We write 5ac as 5 * a * c, 10ab as 5 * 2 * a * b, and -25ad as 5 * (-5) * a * d.
Step 3: Combine the remaining terms.
After taking out the common factor, we are left with:
5 * a * c + 5 * 2 * a * b - 5 * (-5) * a * d
Step 4: Simplify the expression.
Now, we can combine the like terms:
5 * a * c + 10 * a * b - 5 * (-5) * a * d
Step 5: Write the final factorized expression.
Lastly, we factor out the common factor of 5a from each term:
5a(c + 2b - 5d)
Therefore, the factorized form of the expression 5ac + 10ab - 25ad is 5a(c + 2b - 5d).