Question

Найдите значение выражения 2m-1.5n/32m^2-18n^2, если 4m+3n=8.

Answer 1

$frac{2m-1.5n}{2(16m^2-9n^2)}= frac{2*(2m-1.5n)}{2*2(4m+3n)(4m-3n)}= frac{4m-3m}{4(4m+3n)(4m-3n)}= frac{1}{4(4m+3n)}= \ \ frac{1}{4*8}= frac{1}{32}$