MCQ
$75 × 75 + 2 × 75 × 25 + 25 × 25$ is equal to:
- A$6250$
- B$7500$
- ✓$10000$
- D$3750$
✓
Answer
Correct option: C.
$10000$
We know, $(a - b)^2 = a^2 + b^2 + 2ab$
Here, $a = 75$ and $b = 25$
$⇒ (75 × 75) + (2 × 75 × 25) + (25 × 25)$
$= 75^2 + 2 × 75 × 25 + 25^2$
$= (75 + 25)^2$
$= (100)^2$
$= 10000$
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