Using the formula (a - b)^2= (a^2- 2ab + b^2), evaluate: (196)^2 - Vidyadip

Question

Using the formula $(a - b)^2= (a^2- 2ab + b^2),$ evaluate:
$(196)^2$

✓

Answer

$(196)^2$
$= (200 - 4)^2$
$= (200)^2 - 2 × 200 × 4 + (4)^2$
$= 40000 - 1600 + 16$
$= 38416$

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