Question

Determine o MMC:

a² - 25 , a² - 10a + 25 e a² + 10a + 25

(20 pontos)

Answer 1

Primeiramente, veja que:

$a^2-25=(a+5)(a-5)$

$a^2-10a+25=(a-5)^2$

$a^2+10a+25=(a+5)^2$

Assim, $\text{mmc}(a^2-25,a^2-10+25,a^2+10a+25)=(a+5)^2(a-5)^2$.