Question

desenvolva:
a)(3a-2b)²
b)(3x²+y³)²
c)(-5-2y)²

Answer 1

a) (3a - 2b) . (3a - 2b)
9a - 6ab - 6ab + 4b
9a²  - 12ab + 4b²


b)(3x²+y³)²

(3x²+y³) .)(3x²+y³)
9x⁴+ 3x²y³ + 3x²y³ + y⁶
9x⁴+ 6x²y³ + y⁶


c)(-5-2y)²

(-5 - 2y).(-5 - 2y)
25 + 10y + 10y + 4y²
4y² + 20y + 25

Answer 2

a)
= (3a - 2b)²
= (3a)² - 2.3a.2b + (-2b)²
= 9a² - 12ab + 4b²
----------------------------------------------------
b)
= (3x² + y³)²
= (3x²)² + 2.3x².y³ + (y³)²
= 9x⁴ + 6x²y³ + y⁶
----------------------------------------------------
c)
= (- 5 - 2y)²
= (- 5 - 2y).(- 5 - 2y)
= - 5.(-5) - 5.(-2y) - 2y.(-5) - 2y.(-2y)
= 25 + 10y + 10y + 4y²
= 25 + 20y + 4y²
= 4y² + 20y + 25