Solution 1.1:1c
From Förberedande kurs i matematik 1
The brackets indicate in which order the expression is to be calculated, and we start by calculating the inner bracket.
- \displaystyle 3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,}-5) = 3-(7-\bbox[#FFEEAA;,1.5pt]{\,10\,}-5).
Then, we calculate the next bracket.
- \displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,}-5)}{}=3-\firstcbox{#FFEEAA;}{\,(7-10-5)\,}{(-8)}
- \displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,}-5)}{}=3-\secondcbox{#FFEEAA;}{\,(7-10-5)\,}{(-8)}
and when we remove the brackets in "\displaystyle {}-(-8)" we get "\displaystyle {}+8",
- \displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,}-5)}{}=3+8
- \displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,}-5)}{}=11.