Question

(а-6):а^2-12а+36/а+6
При а=10

Answer 1

$(a-6) : \frac{a^2-12a+36}{a+6} = (a-6) : \frac{a^2 - 2*a*6 + 6^2}{a+6} = \frac{a-6}{1} : \frac{(a-6)^2}{a+6}= \\ \\ = \frac{(a-6)}{1} * \frac{a+6}{(a-6)^2} = \frac{a+6}{a-6} \\ \\ a=10 \\ \frac{10+6}{10-6}= \frac{16}{4} = 4$