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5a-{3b-{4a-(5b-6a-7b)}]

Sagot :

[tex]5a-[3b-\{4a-(5b-6a-7b)\}]\\\\=5a-[3b-\{4a-(-6a-2b)\}]\\\\=5a-[3b-\{4a+6a+2b\}]\\\\=5a-[3b-\{10a+2b\}]\\\\=5a-[3b-10a-2b]\\\\=5a-[b-10a]\\\\=5a-b+10a\\\\\boxed{=15a-b}[/tex]

Corrected question :

  • 5a - [3b- {4a - (5b - 6a - 7b)}]

Solution :

First let us solve parentheses or round brackets,

=> 5a - [3b - {4a - (5b - 7b- 6a)}]

=> 5a - [3b - {4a - (-2b - 6a)}]

Now solving for curly bracket,

=> 5a - [3b - {4a + 2b + 6a}]

=> 5a - [3b - {10a + 2b}]

Now solving for box bracket,

=> 5a - [3b - 10a - 2b]

=> 5a - [b - 10a]

=> 5a - b + 10a

=> 15a - b