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хХхмхХх
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July 2022
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Найдите значения выражения 5а-4ab/ab-3b^2+15b-12b^2/3b^2-ab(сумма дробей) если а=299;b=500
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ВикаВикторовна
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(5а-4ab)/(ab-3b²) + (15b-12b²)/(3b²-ab) =
= (5a-4ab)/(ab-3b²) - (15b-12b²)/(ab-3b²) =
= ((5a-4ab)-(15b-12b²))/(ab-3b²) = (5a-4ab-15b+12b²)/(ab-3b²) =
= ((5a-15b)+(-4ab+12b²))/(ab-3b²) = (5(a-3b)-4b(a-3b))/(ab-3b²) =
= ((a-3b)(5-4b))/(b(a-3b)) = (5-4b)/b
(5-4b)/b = (5-4*500)/500 = (5(1-4*100))/500 = (1-400)/100 = (-399)/100 =
= -3,99
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Verified answer
(5а-4ab)/(ab-3b²) + (15b-12b²)/(3b²-ab) == (5a-4ab)/(ab-3b²) - (15b-12b²)/(ab-3b²) =
= ((5a-4ab)-(15b-12b²))/(ab-3b²) = (5a-4ab-15b+12b²)/(ab-3b²) =
= ((5a-15b)+(-4ab+12b²))/(ab-3b²) = (5(a-3b)-4b(a-3b))/(ab-3b²) =
= ((a-3b)(5-4b))/(b(a-3b)) = (5-4b)/b
(5-4b)/b = (5-4*500)/500 = (5(1-4*100))/500 = (1-400)/100 = (-399)/100 =
= -3,99