Question
$75 \times 75 + 2 \times 75 \times 25 + 25 \times 25$ is equal to:
✓
Answer
We know$, (a - b)^2 = a^2 + b^2 + 2ab$
Here$, a = 75$ and $b = 25$
$\Rightarrow (75 \times 75) + (2 \times 75 \times 25) + (25 \times 25)$
$= 75^2 + 2 \times 75 \times 25 + 25^2$
$= (75 + 25)^2$
$= (100)^2$
$= 10000$
Here$, a = 75$ and $b = 25$
$\Rightarrow (75 \times 75) + (2 \times 75 \times 25) + (25 \times 25)$
$= 75^2 + 2 \times 75 \times 25 + 25^2$
$= (75 + 25)^2$
$= (100)^2$
$= 10000$
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