Respuesta :
Answer:
see explanation
Step-by-step explanation:
81[tex]a^{6}[/tex] - 100 ← is a difference of squares which factors in general as
a² - b² = (a - b)(a + b)
81[tex]a^{6}[/tex] = (9a³ )² ⇒ a = 9a³ and 100 = 10² ⇒ b = 10
Hence
81[tex]a^{6}[/tex] - 100
= (9a³)² - 10²
= (9a³ - 10)(9a³ + 10)