Ответ:
Объяснение:
(х²-у²)/5х² : (х²-2ху+у²)/25х =
= (х²-у²)/5х² * 25х/(х²-2ху+у²) =
= (х-у)(х+у)/5х² * 25х/(х-у)² =
= ( (х-у)(х+у)*25х ) / (5х²*(х-у)²) =
= ( (х+у)*5*5х) / (5х*х*(х-у)) =
= ( (х+у)*5) / (х*(х-у)) =
= (5х+5у) / (х²-ху) =
при х=4, у=2:
= (5*4+5*2) / (4²-4*2)=
= (20+10) / (16-8) =
= 30/8 = 15/4 = 3,75
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Ответ:
Объяснение:
(х²-у²)/5х² : (х²-2ху+у²)/25х =
= (х²-у²)/5х² * 25х/(х²-2ху+у²) =
= (х-у)(х+у)/5х² * 25х/(х-у)² =
= ( (х-у)(х+у)*25х ) / (5х²*(х-у)²) =
= ( (х+у)*5*5х) / (5х*х*(х-у)) =
= ( (х+у)*5) / (х*(х-у)) =
= (5х+5у) / (х²-ху) =
при х=4, у=2:
= (5*4+5*2) / (4²-4*2)=
= (20+10) / (16-8) =
= 30/8 = 15/4 = 3,75