Question

Find the square by using the identities of 495

Answer 1

${(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \\ 495 = {(500 - 5)}^{2} \\ \: \: \: \: \: \: \: \: \: = {(500)}^{2} - 2 \times (500)(5) + {(5)}^{2} \\ \: \: \: \: \: \: \: \: =250000 - 5000 + 25 \\ \: \: \: \: \: \: \: \: \: = 245000 + 25 \\ \: \: \: \: \: \: \: \: \: \: \: = 245025$

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