if 3m+5n=0 then what is the value of m³+5n³/m³-5n³=?
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Given : 3 m+5n=0
To Find : value of m³+5n³/m³-5n³
Solution:
3m+5n=0
=> 3m = - 5n
=> m = - 5n/3
(m³+5n³)/(m³-5n³)
substituting
m = - 5n/3
=> ((- 5n/3)³+5n³)/((- 5n/3)³-5n³)
= ( -125n³/27 + 5n³) / ( -125n³/27 - 5n³)
= ( -125n³ + 135n³) / ( -125n³ -135n³)
= 10n³/(-260n³)
= - 10/260
= - 1/26
m³+5n³/m³-5n³ = - 1/26
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