Question

Evaluate the 509 square by using suitable identities

Answer 1

Answer:

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Answer 2

Answer:

$\\ = > (a + b) ^{2} = \: {a}^{2} + {b }^{2} + 2ab \\ (509) ^{2} = (500 + 9) ^{2} \\ (500) ^{2} + (9) ^{2} + 2(500)(9) \\ 250000 + 81 + 2 \times 4500 \\ 250000 + 81 + 9000 \\ 250081 + 9000 \\ 259081$

Step-by-step explanation:

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