Решите 2 примера: 4a + 1-4a^2/a, a+b/a-b - a-b/a+b

Question

Решите 2 примера:
4a + 1-4a^2/a,
a+b/a-b - a-b/a+b

Answer 1

4a + (1-4a^2)/a=(4a²+1-4a²)/a=1/a

(a+b)/(a-b)-(a-b)/(a+b)=[(a+b)²-(a-b)²]/(a²-b²)=
=(a+b-a+b)(a+b+a-b)/(a²-b²)=2b*2a/(a²-b²)=4ab/(a²-b²)

Answer 2

4a + 1-4a^2/a = 4a²+1-4a²/a= 1/a

a+b/a-b - a-b/a+b=(a+b)²-(a-b)²/(a-b)(a+b) = a²+2ab+b²-a²+2ab-b²/a²-b²=

=4ab/a²-b²