5a^2b^2-10ab^2+25b^2
only thing I can see if factoring it
= 5b^2 (a^2 - 10a + 25)
= 5b^2 (a - 5)^2
To simplify the expression 5a^2b^2 - 10ab^2 + 25b^2, we can factor out the Greatest Common Factor (GCF) of the terms. In this case, the GCF is 5b^2.
Step 1: Factor out the GCF:
5b^2(a^2 - 2ab + 5b)
Now let's take a closer look at the expression within the parentheses, a^2 - 2ab + 5b. This is a quadratic trinomial and it cannot be factored further using real numbers.
Therefore, the simplified expression is:
5b^2(a^2 - 2ab + 5b)