Question

find the square of 503 by using the shortcut method

Answer 1

${503}^{2} = {(500 + 3)}^{2} \\ {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ {500}^{2} + {3}^{2} + 2 \times 500 \times 3 = {503}^{2} \\ {503}^{2} = 2500 + 9 + 3000 \\ {503}^{2} = 5509$
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