If 4๐โ๐=4mโn= -0.5, then the value of (16๐2๐+27๐96๐)( 2 n 16 m โ + 9 6m 27 n โ ) is
Solution
The given equation is 4m - n = -0.5.
First, we need to isolate n. We can do this by adding n to both sides and subtracting -0.5 from both sides to get n = 4m + 0.5.
Next, we substitute n = 4m + 0.5 into the expression (16m^2n + 27n/96m).
This gives us (16m^2(4m + 0.5) + 27(4m + 0.5)/96m).
Simplify the expression to get (64m^3 + 8m^2 + 108m + 13.5)/96m.
Finally, divide each term by 96m to get the final answer: 2/3m^2 + 1/12m + 9/8 + 0.140625.
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