Explain in your own words why (x+y) 2 = x2 + y2. provide a numerical example to illustrate

Question

Mathematics

Mariah Baird

11 March, 20:00

Explain in your own words why (x+y) 2 = x2 + y2. provide a numerical example to illustrate

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Answers (1)

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Memphis Herrera · Answer 1

(x + y) ² = x² + y²

(x + y) (x + y) = x² + y²

x² + xy + xy + y² = x² + y²

x² + 2xy + y² = x² + y²

- x² - x²

2xy + y² = y²

- y² - y²

2xy = 0

2 2

xy = 0