Question
$75 \times 75 + 2 \times 75 \times 25 + 25 \times 25$ is equal to:
✓
Answer
Given expression is $75 \times 75 + 2 \times 75 \times 25 + 25 \times 25$
Let $75 = a$ and $25 = b$
Then, we have
$a \times a + 2 \times a \times b + b \times b$
$= a^2 + 2ab + b^2$
$= (a + b)^2$
$= (75 + 25)^2$
$= (100)^2$
$= 10000$
Let $75 = a$ and $25 = b$
Then, we have
$a \times a + 2 \times a \times b + b \times b$
$= a^2 + 2ab + b^2$
$= (a + b)^2$
$= (75 + 25)^2$
$= (100)^2$
$= 10000$
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