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egorsemenov04
@egorsemenov04
August 2022
1
15
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1) 3,74^2+3,74*2,26-3,74*1,24-2,26*1,24
2) 58,7*1,2+36*3,52-34,7*1,2-2,32*36
3)2 и 4/9 *3 и 2/7+1 и 5/7 *2,8+ 5 2 и 5/9* 3 и 2/7 + 1 и 5/7 *2,2
Вычислите используя метод группировки многочленов.
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zinaidazina
1)
3,74² + 3,74·2,26 - 3,74·1,24 - 2,26·
1,24 =
= (
3,74² + 3,74·2,26) - (3,74·1,24 + 2,26·1,24) =
= 3,74·(3,74 +2,26) - 1,24·(3,74 + 2,26) =
= 3,74·6 - 1,24·6 =
= 6·(3,74 - 1,24) =
= 6 · 2,5 =
15
- ответ.
2)
58,7
·1,2 + 36·3,52 - 34,7·1,2 - 2,32·
36 =
= (
58,7·1,2 - 34,7·1,2) + (36·3,52 - 2,32·36) =
= 1,2·(58,7 - 34,7) + 36·(3,52 - 2,32) =
= 1,2·24 + 36·1,2 =
= 1,2·(24 + 36) =
= 1,2 · 60 = =
72
- ответ.
3)
2
⁴/₉ · 3 ²/₇ + 1 ⁵/₇ · 2,8 + 2 ⁵/₉ · 3²/₇ + 1 ⁵/₇ · 2,2 =
= (2 ⁴/₉ · 3 ²/₇ + 2 ⁵/₉ · 3²/₇) + (1 ⁵/₇ · 2,8 + 1 ⁵/₇ · 2,2) =
= 3 ²/₇ · (2 ⁴/⁹ + 2 ⁵/₉) + 1 ⁵/₇ · (2,8 + 2,2) =
= 3 ²/₇ · 5 + 1 ⁵/₇ · 5 =
= 5 · (3²/₇ + 1 ⁵/₇) =
= 5 · 5 =
25
- ответ.
11 votes
Thanks 18
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Answers & Comments
3,74² + 3,74·2,26 - 3,74·1,24 - 2,26·1,24 =
= (3,74² + 3,74·2,26) - (3,74·1,24 + 2,26·1,24) =
= 3,74·(3,74 +2,26) - 1,24·(3,74 + 2,26) =
= 3,74·6 - 1,24·6 =
= 6·(3,74 - 1,24) =
= 6 · 2,5 = 15 - ответ.
2)
58,7·1,2 + 36·3,52 - 34,7·1,2 - 2,32·36 =
= (58,7·1,2 - 34,7·1,2) + (36·3,52 - 2,32·36) =
= 1,2·(58,7 - 34,7) + 36·(3,52 - 2,32) =
= 1,2·24 + 36·1,2 =
= 1,2·(24 + 36) =
= 1,2 · 60 = = 72 - ответ.
3)
2 ⁴/₉ · 3 ²/₇ + 1 ⁵/₇ · 2,8 + 2 ⁵/₉ · 3²/₇ + 1 ⁵/₇ · 2,2 =
= (2 ⁴/₉ · 3 ²/₇ + 2 ⁵/₉ · 3²/₇) + (1 ⁵/₇ · 2,8 + 1 ⁵/₇ · 2,2) =
= 3 ²/₇ · (2 ⁴/⁹ + 2 ⁵/₉) + 1 ⁵/₇ · (2,8 + 2,2) =
= 3 ²/₇ · 5 + 1 ⁵/₇ · 5 =
= 5 · (3²/₇ + 1 ⁵/₇) =
= 5 · 5 = 25 - ответ.