Question

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2- Determine os Produtos Notáveis
a) (x+2y pa
b) (3x - y) =
c) (4x+5 y) =
d) (2x- y)*(2x+y)
e) (5x+7 y)*(5x-7y)​

Answer 1

a) (x + 2y)² = x² + 2 . x . 2y + 2y² = x² + 4xy + 4y²

b) (3x - y)² = 3x² - 2 . 3x . y + y² = 9x² - 6xy + y²

c) (4x + 5y)² = 4x² + 2 . 4x . 5y + 5y² = 16x² + 40xy + 25y²

d) (2x - y) . (2x + y) = 4x² + 2xy - 2xy - y² = 4x² - y²

e) (5x + 7y) . (5x - 7y) = 25x² - 35xy + 35xy - 49y² = 25x² - 49y²