Question
Evaluate the following without multiplying:$(1005)^2$
✓
Answer
$(1005)^2$
$= (1000 + 5)^2$
$= (1000)^2 + 2(1000)(5) + (5)^2$
$= 1000000 + 10000 + 25$
$= 1010025.$
$= (1000 + 5)^2$
$= (1000)^2 + 2(1000)(5) + (5)^2$
$= 1000000 + 10000 + 25$
$= 1010025.$
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