Question

Сократить дробь: (64a^2+16a√(b)+b)/(64a^2-b)

Answer 1

$frac{64a^2+16asqrt b+b}{64a^2-b}= frac{(8a)^2+2*8asqrt b+(sqrt b)^2}{(8a-sqrt b)(8a+sqrt b)}= frac{(8a+sqrt b)^2}{(8a-sqrt b)(8a+sqrt b)}=frac{8a+sqrt b}{8a-sqrt b}$

Answer 2

(64a^2+16a√(b)+b)/(64a^2-b)=(8a+√b)^2/((8a-√b)(8a+√b))=(8a+√b)/(8a-√b)