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Simplify : 2×[4{2(23)(2+3)}1]5×[3(32)]2 \times [4 - \{2 - (2-3) - (2+3)\} - 1] - 5 \times [-3 - (3-2)]

Solution

Correct Option: 2

Compute innermost brackets first. (23)=1(2-3)=-1, (2+3)=5(2+3)=5. Then {2(1)5}=2\{2-(-1)-5\} = -2. Next [4(2)1]=5[4-(-2)-1] = 5, so 2×5=102 \times 5 = 10. For the second part, (32)=1(3-2)=1, [31]=4[-3-1]=-4, so 5×(4)=205 \times (-4) = -20. Final: 10(20)=3010 - (-20) = 30.

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