Сократите дробь 1)2a-2b/a^2-b^2 2)(5a+5b)^2/a^2+2ab+b^2 3)a^2-100/a^2-20a+100

Question

Сократите дробь
1)2a-2b/a^2-b^2
2)(5a+5b)^2/a^2+2ab+b^2
3)a^2-100/a^2-20a+100

Answer 1

1)(2a-2b)/(a²-b²)=(2(a-b))/((a+b)(a-b))=2/(a+b)

2)(5a+5b)²/(a²+2ab+b²)=5²(а²+2ab+b²)/(a²+2ab+b²)=25

3)a²-100/a²-20a+100=((a-10)(a+10))/(a-10)²=((a-10)(a+10))/((a-10)(a-10))=(a+10)/(a-10)