Explicación paso a paso:
11.
10 + {x - [y + (x - 3) - (y - 6)]}
= 10 + {x - [y + x - 3 - y + 6]}
= 10 + {x - [x + 3]}
= 10 + {x - x - 3}
= 10 - 3
= 7
12.
a + {-2b - [3 + (5a - 2b) - (7a + 2)]}
= a + {-2b - [3 + 5a - 2b - 7a - 2]}
= a + {-2b - [1 - 2b - 2a]}
= a + {-2b - 1 + 2b + 2a}
= a + {2a - 1}
= a + 2a - 1
= 3a - 1
13.
2a + {3a - [5 + 2(a + 3b) - 3(b - a)]}
= 2a + {3a - [5 + 2a + 6b - 3b + 3a]}
= 2a + {3a - [5 + 5a + 3b]}
= 2a + {3a - 5 - 5a - 3b}
= 2a + {- 5 - 2a - 3b}
= 2a - 5 - 2a - 3b
= - 5 - 3b o también = -(5 + 3b)
14.
b - 2{-a + [b + 2(a − 1) - 3(2b - 3)]}
= b - 2{-a + [b + 2a − 2 - 6b + 9]}
= b - 2{-a + [2a - 5b + 7]}
= b - 2{-a + 2a - 5b + 7}
= b - 2{a - 5b + 7}
= b - 2a + 10b - 14
= 11b - 2a - 14
15.
6 - 5{a + 2[3b - 2(a − 1) + 2(a - b)]}
= 6 - 5{a + 2[3b - 2a + 2 + 2a - 2b]}
= 6 - 5{a + 2[b + 2]}
= 6 - 5{a + 2b + 4}
= 6 - 5a - 10b - 20
= - 5a - 10b - 14 o también= -(5a + 10b + 14)
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Explicación paso a paso:
11.
10 + {x - [y + (x - 3) - (y - 6)]}
= 10 + {x - [y + x - 3 - y + 6]}
= 10 + {x - [x + 3]}
= 10 + {x - x - 3}
= 10 - 3
= 7
12.
a + {-2b - [3 + (5a - 2b) - (7a + 2)]}
= a + {-2b - [3 + 5a - 2b - 7a - 2]}
= a + {-2b - [1 - 2b - 2a]}
= a + {-2b - 1 + 2b + 2a}
= a + {2a - 1}
= a + 2a - 1
= 3a - 1
13.
2a + {3a - [5 + 2(a + 3b) - 3(b - a)]}
= 2a + {3a - [5 + 2a + 6b - 3b + 3a]}
= 2a + {3a - [5 + 5a + 3b]}
= 2a + {3a - 5 - 5a - 3b}
= 2a + {- 5 - 2a - 3b}
= 2a - 5 - 2a - 3b
= - 5 - 3b o también = -(5 + 3b)
14.
b - 2{-a + [b + 2(a − 1) - 3(2b - 3)]}
= b - 2{-a + [b + 2a − 2 - 6b + 9]}
= b - 2{-a + [2a - 5b + 7]}
= b - 2{-a + 2a - 5b + 7}
= b - 2{a - 5b + 7}
= b - 2a + 10b - 14
= 11b - 2a - 14
15.
6 - 5{a + 2[3b - 2(a − 1) + 2(a - b)]}
= 6 - 5{a + 2[3b - 2a + 2 + 2a - 2b]}
= 6 - 5{a + 2[b + 2]}
= 6 - 5{a + 2b + 4}
= 6 - 5a - 10b - 20
= - 5a - 10b - 14 o también= -(5a + 10b + 14)