Question

(25+8)^2-(8^2+25^2)=_
Please help! Thanks, no spam, ty!
solve it without using a calculator if best, I think there is a trick to solving this but I don’t know.

Answers

  1. Like in your earlier question, we’ll use the identity
    (a + b)² = a² + 2ab + b²
    to write
    (25 + 8)² = 25² + 2•25•8 + 8²
    Then
    (25 + 8)² – (8² + 25²) = 2•25•8 = 400

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