Question

упростите выражение 5a-3/5a-4*(5a -  5a/5a-3)

Answer 1

$frac{5a-3}{5a-4}(5a - frac{5a}{5a-3} )= frac{5a-3}{5a-4}cdot frac{5a(5a-3)-5a}{5a-3}= frac{5a-3}{5a-4}cdot frac{25a^2-15a-5a}{5a-3}= \ = frac{5a-3}{5a-4}cdot frac{25a^2-20a}{5a-3}= frac{(5a-3)(25a^2-20a)}{(5a-4)(5a-3)}= frac{5a(5a-4)}{5a-4}=5a$

Answer 2

спасибо