53 = (50 + 3) 55 = (50 + 55) 53 × 55 = (50 + 3)(50 + 5) = 50(50 + 5) + 3(50 + 5) = 2500 + 200 + 150 + 15 = 2500 + 415 = ...

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Expansion of (a ± b ± c)²

Expand: 53 ×...

Question

Expand: $53 \times 55$

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Solution

$53 = (50 + 3)$
$55 = (50 + 55)$
$53 \times 55$ $= (50 + 3) (50 + 5)$
$= 50 (50 + 5) + 3 (50 + 5)$
$= 2500 + 200 + 150 + 15$
$= 2500 + 415$
$= 2915$

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