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dianole
@dianole
July 2022
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zhenyaM2002
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(2/(9+3а) - 4/(9-а²) + 1/(9-3а) ) * (9 - 6а + а²) =
= ( 2/(3(3+а) ) - 4/(3² -а²) + 1/(3(3 -а) ) ) * (3² - 2*3а + а²) =
= ( 2/(3(3+а)) - 4/((3-а)(3+а)) + 1/(3(3-а)) ) * (3-а)² =
= [ (2(3-а) - 4*3 + 1(3+а) ) / ( 3(3-а)(3 +а) ) ] * (3-а)² =
= [ (6 -2a - 12 + 3 + a) / ( 3(3-a)(3+a) ) ] * (3-a)² =
= [ (-a - 3) / ( 3(3-a)(3+a) ) ] * (3-a)² =
= [ ( -(a+3)/ (3(3-a)(3+a) ) ] * (3-a)² =
= - 1/( 3(3-a) ) * (3-a)² =
= - 1*(3-a)² / 3(3-a) =
= - (3-a) / 3 =
= (a-3)/ 3
ответ 5)
1 votes
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Answers & Comments
Verified answer
(2/(9+3а) - 4/(9-а²) + 1/(9-3а) ) * (9 - 6а + а²) == ( 2/(3(3+а) ) - 4/(3² -а²) + 1/(3(3 -а) ) ) * (3² - 2*3а + а²) =
= ( 2/(3(3+а)) - 4/((3-а)(3+а)) + 1/(3(3-а)) ) * (3-а)² =
= [ (2(3-а) - 4*3 + 1(3+а) ) / ( 3(3-а)(3 +а) ) ] * (3-а)² =
= [ (6 -2a - 12 + 3 + a) / ( 3(3-a)(3+a) ) ] * (3-a)² =
= [ (-a - 3) / ( 3(3-a)(3+a) ) ] * (3-a)² =
= [ ( -(a+3)/ (3(3-a)(3+a) ) ] * (3-a)² =
= - 1/( 3(3-a) ) * (3-a)² =
= - 1*(3-a)² / 3(3-a) =
= - (3-a) / 3 =
= (a-3)/ 3
ответ 5)