find the square of the following number without actual multiplication 39 and 42
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suru839:
write a pythagorean triplets whose smallest member is 8
8,15,17
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↦Solution : -
(i) 39
39² = (30 + 9)² = 30(30+9) + 9(30+9)
30² + 30 × 9 + 9 × 30 +9²
900 + 270 + 270 + 81
1521 [Answer]
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(ii) 42
42² = (40 + 2)² = 40(40 + 2) + 2(40 + 2)
40² + 40 × 2 + 2 × 40 + 2²
1600 + 80 + 80 + 4
1764 [Answer]
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