Another method to solve the square of 45

March 20, 2026·Mathematics

ScanSolve AI Answer

Answer

45^2 = 2025

3 steps

Express 45 as $50 - 5$ .
$(50 - 5)^2 = 50^2 - 2 \cdot 50 \cdot 5 + 5^2$
Compute each term.
$50^2 = 2500$ $2 \cdot 50 \cdot 5 = 500$ $5^2 = 25$
Substitute and simplify.
$2500 - 500 + 25 = 2000 + 25 = 2025$
$45^2 = \boxed{2025}$

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