factor 25u^2+60u+36
To factor 25u^2 + 60u + 36, we first need to see if we can simplify or factor out a common factor. In this case, we can see that all the terms are divisible by 4, so we can factor out a 4:
4(25u^2 + 15u + 9)
Now, we need to factor the quadratic trinomial within the parentheses: 25u^2 + 15u + 9. The factoring for this trinomial is:
(5u + 3)(5u + 3)
So, putting everything together, we have:
4(5u + 3)(5u + 3)
Therefore, the factored form of 25u^2 + 60u + 36 is 4(5u + 3)^2.