Could someone please help me with this math problem. I am lost on trying to solve this math problem.
Add. Simplify if possible.
s+r/sr^2 + 2s+r/s^2r
Thanks.
s+r/sr^2 + 2s+r/s^2r
Multiply by s^2r^2.
s(s+r) + r(2s+r) = s^2 + sr + 2sr + r^2 =
s^2 + 3sr + r^2
Does that help?
Of course! To solve the addition problem and simplify, we need to find a common denominator for both fractions. The denominators in this case are `sr^2` and `s^2r`. To find the common denominator, we take the least common multiple (LCM) of the two denominators.
First, let's break down each denominator into its prime factors:
rs^2 = r * s * s
s^2r = s * s * r
To find the LCM, we take the highest power of each prime factor that appears in either denominator:
LCM = r * s * s * r
Now, let's rewrite each fraction using the common denominator:
(s + r) / sr^2 = ((s + r) * s * s) / (r * s * s * r)
= (s^2 + rs) / (r^2s^2)
(2s + r) / s^2r = ((2s + r) * r * s) / (r * s * s * r)
= (2rs + rs^2) / (r^2s^2)
Now, we can add the two fractions with the same denominator:
((s^2 + rs) + (2rs + rs^2)) / (r^2s^2)
= (s^2 + rs + 2rs + rs^2) / (r^2s^2)
= (s^2 + 3rs + rs^2) / (r^2s^2)
So, the simplified form of the addition is (s^2 + 3rs + rs^2) / (r^2s^2).
I hope this helps you understand how to solve and simplify the given math problem! Let me know if you have any further questions.