Question

Упростите выражение
(2/8a-6b)-(2/8a+6b)+(8a/16a^2-9b^2)

Answer 1

$frac{2}{8a-6b}-frac{2}{8a+6b}+frac{8a}{16a^{2}-9b^{2}}=frac{2}{2(4a-3b)}-frac{2}{2(4a+3b)}+frac{8a}{(4a+3b)(4a-3b)}=frac{1}{4a-3b}-frac{1}{4a+3b}+frac{8a}{(4a+3b)(4a-3b)}=frac{4a+3b-4a+3b+8a}{(4a+3b)(4a-3b)}=frac{8a+6b}{(4a+3b)(4a-3b)}=frac{2(4a+3b)}{(4a+3b)(4a-3b)}=frac{2}{4a-3b}$