Question

Express 50x2 +18y2 as the sum of two squares. ​

Answer 1

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50x^2+18y^2 = 25x^2 + 9y^2 + 25x^2+9y^2

= 25x^2 + 9y^2 + 30xy - 30xy+ 25x^2 + 9y^2

= (5x + 3y)^2 + (5x - 3y)^2

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