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SashaForewer
@SashaForewer
July 2022
1
4
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Доведіть тотожність
(m- (12m-4 ) : ( 4m - 40m) = m-2)
( m+8 ) ( m+8) 4m)
Пожалуйста срочно надо плиз!!!
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Света19999
Verified answer
(m-
(12m-4 )
: ( 4m -
40m)
=
m-2
)
( m+8 ) ( m+8) 4m)
1)m -
(12m - 4)
=
m^2 + 8m - 12m + 4
=
m^2 - 4m + 4
=
(m-2)^2
m+8 m+8 m+8 m+8
2)4m -
40m
=
4m^2 + 32m - 40m
=
4m^2 - 8m
=
4m(m-2)
m+8 m+8 m+8 m+8
3)
(m-2)^2
:
4m(m-2)
=
(m-2)^2(m+8)
=
m-2
m+8 m+8 (m+8)(m-2)4m 4m
При m не равном 2 и -8 и 0
1 votes
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Answers & Comments
Verified answer
(m- (12m-4 ) : ( 4m - 40m) = m-2)( m+8 ) ( m+8) 4m)
1)m - (12m - 4) = m^2 + 8m - 12m + 4 = m^2 - 4m + 4 = (m-2)^2
m+8 m+8 m+8 m+8
2)4m - 40m = 4m^2 + 32m - 40m = 4m^2 - 8m = 4m(m-2)
m+8 m+8 m+8 m+8
3) (m-2)^2 : 4m(m-2) = (m-2)^2(m+8) = m-2
m+8 m+8 (m+8)(m-2)4m 4m
При m не равном 2 и -8 и 0