Simplify: (4m/5n^2)-(n/2m)
A)(8m^2-5n^3)/10n^2m
B)(8m^2+5n^3)/10n^2m
C)(4m-n)/(5n^2-2m)
D)2/5n^2
I chose C
4m/5n^2 - n/2m
4m/5(n)^2 - n/2(m)
C
You need to find a common denominator for the two fractions you are trying to subtract. Simplifying the problem:
A/B - C/D = (A*D-C*B)/(B*D)
In this case,
A=4m
B=5n^2
C=n
D=2m
So, A*D=4m*2m=8m^2
C*B=n*5n^2=5n^3
B*D=5n^2*2m=10n^2m
Substituting this into the simplified equation gives:
(8m^2-5n^3)/(10n^2m) which is answer (A)
A clue to the correct answer is that (A) and (B) are only a little different, so it's probably one of them!
To simplify the expression (4m/5n^2)-(n/2m), we need to find a common denominator and combine the terms.
The common denominator for the two fractions is 10m*n^2. We can rewrite the expression as:
(8m^2/10m*n^2) - (5n^3/10m*n^2)
Next, we can combine the terms by subtracting the numerators:
(8m^2 - 5n^3)/(10m*n^2)
Therefore, the simplified expression is (8m^2 - 5n^3)/(10m*n^2).
Option A, (8m^2-5n^3)/10n^2m matches the simplified expression.