Question

Упростите a)2-2х/x^2-2x+1 b)25-x^2/3x+15 Помогите пожалуйста

Answer 1

A)(2-2х)/(x²-2x+1)=2(1-х)/(х-1)²=-2(х-1)/(х-1)²=-2/(х-1)=2/(1-х) 


b)(25-x²)/(3x+15)=(25-x²)/3x+15=(5-х)(5+х)/3(х+5)=(5-х)/3

Answer 2

Simplifying the Expressions

Let's simplify the given expressions:

a) 2-2x/x^2-2x+1 b) 25-x^2/3x+15

Simplified Expressions

a) For the expression 2-2x/x^2-2x+1: - The simplified form is 1/3. - To simplify this expression, we can follow the steps: - 2-2x/x^2-2x+1 = 1 + 2x = 5 - 2x = 5 - 1 - 2x = 4 - x = 4/2 - x = 2 [[1]](https://skysmart.ru/articles/mathematic/reshenie-uravnenij-s-drobyami).

b) For the expression 25-x^2/3x+15: - The simplified form is (2-x)(5+x)/3. - To simplify this expression, we can factorize the numerator and rewrite the expression as: - (5-x)(5+x)/3 - (2-x)(5+x)/3.

I hope this helps! If you have any further questions, feel free to ask.