Question

Show the square of an odd number odd number 8m+1, where m is a whole number number.

Answer 1

Hey!

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Euclid division lemma => a = bq + r

If r = 1

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So :-

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a = 8q + r

a = 8q + 1

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Squarring both sides :-

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a² = (8q + 1)²

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(a + b)² = a² + 2ab + b²

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a² = 64q² + 16q + 1

a² = 8 (8q² + 2q) + 1

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Let 8q² + 2q = m

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We get :-

8m + 1

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Regards :)

Cybary

Be Brainly :)