What is the Sum of (x+2y) ^2 and (x-y) ^2

Question

Mathematics

Aiyana Wise

15 November, 18:03

What is the Sum of (x+2y) ^2 and (x-y) ^2

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Javion Everett · Answer 1

(x + 2y) ² + (x - y) ²

((x + 2y) (x + 2y)) + ((x - y) (x - y))

(x (x + 2y) + 2y (x + 2y)) + (x (x - y) - y (x - y))

(x (x) + x (2y) + 2y (y) + 2y (2y)) + (x (x) - x (y) - y (x) + y (y))

(x² + 2xy + 2xy + 4y²) + (x² - xy - xy + y²)

(x² + 4xy + 4y²) + (x² - 2xy + y²)

(x² + x²) + (4xy - 2xy) + (4y² + y²)

2x² + 2xy + 5y²