Question

produto notável de:
a) (x²+y²) (x²-y²)
b) (2ab+c)³
c) (5y+2)³

Answer 1

a) (x² + y²) . (x² - y²)

x² . x² - x² .y² + y².x² - y².y²
x⁴ - x²y² + x²y² - y⁴
=> x⁴ - y⁴

===
b) (2ab + c)³ 


(2ab)³ + 3.(2ab)² + 3.2ab.c² + c³
8a³b³ + 3 . 4a²b² + 3. 2abc²  + c³
=>8a³b³ + 12a²b² + 6abc² + c³

===
c) (5y + 2)²

(5y)³ + 3.(5y)².2 + 3.5y.2² + 2³
125y³ + 6.25y² + 15y.4 + 8
=> 125y³ + 150y² + 60y + 8