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(a-b)^2 Expansion and Visualisation

Find the squa...

Question

Find the square of 45 using an identity

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Solution

$(a - b)^{2} = a^{2} - 2 a b + b^{2} (50 - 5)^{2} = 50^{2} + 5^{2} - 2 (5) (50) = 2500 + 25 - 500 = 2025$

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