РЕШЕНИЕ:

a²​−9b² ⋅ __a__ =
4a² ___a+3b

(a ​−3b)(a+3b) ⋅ __a__ =
4a² ____ _______ a+3b

a-3b ⋅ __1__ =
4a ______ 1

a-3b =
4a

1 + 8b =
___ 4a

1 + 8√125 =
4 ___ 4√5

= 1/4 + 40/4 = 41/4 = 10.25

Ответ: 10.25

РЕШЕНИЕ:

__42__ − 6 =
7a−a² ___a

42 − 6(7-a) =
a(7-a)

42 − 42 + 6a =
a(7-a)

__6a__ =
a(7-a)

__6__ =
7-a

= 6 / (7-(-68)) = 6 / 75 = 0.08

Ответ: 0.08

РЕШЕНИЕ:

a−6 : a−6 =
a² __a²​−8a

a−6 ∙ a(a−8) =
a² __a - 6


a−8 =
a

4−8 =
4

= - 4 / 4 = - 1

Ответ: - 1

РЕШЕНИЕ:

( 3y − 2x) : (3y+2x) =
2x__ 3y

( 9y²− 4x²) ∙ 1 =
6xy (3y+2x)

(3y - 2x)(3y+2x) =
6xy (3y+2x)

3y - 2x =
6xy

1 - 1 =
2x _3y

1 ___ - 1 __ =
2 ∙1/8_ 3∙1/6

= 4 - 2 = 2

Ответ: 2

РЕШЕНИЕ:

a²​−81b² : ab-9b² =
____a² ___ a

(a-9b)(a+9b) ∙ a_____ =
____a² _____ b (a-9b)

a+9b =
ab

27+9 ∙ 6 =
27 ∙ 6


81 = 0.5
162

Ответ: 0.5

РЕШЕНИЕ:

a²​−36b² ⋅ __a__ =
5a² ______ 5a−30b

(a ​−6b)(a+6b) ⋅ __a__ =
5a² ____ _______ 5(a−6b)

a+6b ⋅ __1__ =
5a ______ 5

a+6b =
25 a

1 + 6b =
___ 25a

1 + 6√216 =
25__ 25√96

= 0.04 + 0.36 = 0.4

Ответ: 0.4