a) (9 - 3)² = 9² - 2 * 9 * 3 + 3² = 81 - 54 + 9 = 36
b) (2c - 5)² = (2c)² - 2 * 2c * 5 + 5²= 4c² - 20c + 25
c) (7 - 3c)² = 7² - 2 * 7 * 3c + (3c)² = 49 - 42c + 9c²
d) (5x - 2y)² = (5x)² - 2 * 5x * 2y + (2y)² = 25x² - 20xy + 4y²
e) (xy - 10)² = (xy)² - 2 * xy * 10 + 10² = x²y² - 20xy + 100
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Resolução:
a) (9 - 3)² = 9² - 2 * 9 * 3 + 3² = 81 - 54 + 9 = 36
b) (2c - 5)² = (2c)² - 2 * 2c * 5 + 5²= 4c² - 20c + 25
c) (7 - 3c)² = 7² - 2 * 7 * 3c + (3c)² = 49 - 42c + 9c²
d) (5x - 2y)² = (5x)² - 2 * 5x * 2y + (2y)² = 25x² - 20xy + 4y²
e) (xy - 10)² = (xy)² - 2 * xy * 10 + 10² = x²y² - 20xy + 100