Question : The value of $(1018)^2-1019 \times 1017+1015 \times 1012-1016 \times 1011$ is:
Option 1: 1
Option 2: 4
Option 3: 3
Option 4: 5
Correct Answer: 5
Solution :
Given expression,
$(1018)^2-1019 × 1017+1015 × 1012-1016 × 1011$
$= (1018)^2-(1018+1)(1018-1)+1015×1012-(1015+1)(1012-1)$
$= (1018)^2-(1018)^2+(1)^2+(1015×1012)-(1015×1012)+1015-1012+1$
$= 1+3+1$
$=5$
Hence, the correct answer is 5.
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