Factor
3y^2z-5yz-9y^2+30y-25
I can't seem to figure this one out...
Give me a step by step answer please and thank you :)
To factor the expression 3y^2z - 5yz - 9y^2 + 30y - 25, we can follow these steps:
Step 1: Group the terms to look for common factors. In this case, we can group the first two terms and the last three terms:
(3y^2z - 5yz) - (9y^2 - 30y + 25)
Step 2: Factor out the common factor within each group. Within the first group, we can factor out a common factor of yz:
yz(3y - 5) - (9y^2 - 30y + 25)
Step 3: Factor out any common factor from the remaining terms. Within the second group, we can factor out a common factor of 3:
yz(3y - 5) - 3(3y^2 - 10y + 8)
Step 4: Factor the remaining quadratic expression within parentheses. We can use either factoring techniques, such as factoring by grouping:
yz(3y - 5) - 3(y - 4)(3y - 2)
So, the fully factored expression is:
yz(3y - 5) - 3(y - 4)(3y - 2)
And that's how you factor the given expression step by step!