Simplify: \(2\times[4-\{2-(2-3)-(2+3)\}-1]-5\times[-3-(3-2)]\)
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 30
Brackets are cleared from the innermost outwards — ( ), then { }, then [ ] — and only then the multiplications and the subtraction are done.
The first part, \(2\times[4-\{2-(2-3)-(2+3)\}-1]\):
\((2-3)=-1\) and \((2+3)=5\)
\(\{2-(-1)-5\}=\{2+1-5\}=-2\)
\([4-(-2)-1]=5\), so the first part \(=2\times5=10\)
The second part, \(5\times[-3-(3-2)]\):
\([-3-1]=-4\), so the second part \(=5\times(-4)=-20\)
Value \(=10-(-20)=30\).