5a2b2 − 10ab2 + 25b2
b2(5a2-10a+25)
or, 5b^2(a^2-2a+5)
To simplify the expression 5a^2b^2 - 10ab^2 + 25b^2, you can use the distributive property and combine like terms. Let's break it down step by step:
Step 1: Factor out the greatest common factor, if possible.
Noticing that all the terms have a factor of 5, we can extract it to simplify the expression:
5(a^2b^2 - 2ab^2 + 5b^2)
Step 2: Look for any common factors between the remaining terms.
In this case, we can see that each term has a factor of b^2. We can factor it out:
5b^2(a^2 - 2ab + 5)
Now we have simplified the expression to its factored form: 5b^2(a^2 - 2ab + 5).
To further simplify or evaluate the expression, you would need additional information or specific values for the variables a and b.