Solution 1.1:2b
From Förberedande kurs i matematik 1
When calculating, the innermost part of the expression should always be calculated first.
- \displaystyle 3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5) = 3-((\bbox[#FFEEAA;,1.5pt]{\,3\,}+6)-5).
In the resulting expression we again pick out and calculate the innermost part
- \displaystyle \phantom{3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5)}{} = 3-(\firstcbox{#FFEEAA;}{\,(3+6)\,}{9}-5)
- \displaystyle \phantom{3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5)}{} = 3-(\secondcbox{#FFEEAA;}{\,(3+6)\,}{9}-5).
Now there is just one bracket to calculate
- \displaystyle \phantom{3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5)}{} = 3-\firstcbox{#FFEEAA;}{\,(9-5)\,}{4}
- \displaystyle \phantom{3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5)}{} = 3-\secondcbox{#FFEEAA;}{\,(9-5)\,}{4}
and now there is only an expression without brackets left to calculate
- \displaystyle \phantom{3-((\firstcbox{#FFEEAA;}{\,(7-4)\,}{3}+6)-5)}{} = -1.