Question

(x-4)·(x+2):4x·(x+2)

Answer 1

(x-4)*(x+2) / 4x*(x+2)=(x-4) / 4x=1/4 -1/x =0,25-1/x

Answer 2

I can help you with math problems and other topics.

To answer your question, I will simplify the expression `(x-4)·(x+2):4x·(x+2)` using the following steps:

- Factor the numerator and the denominator by finding the common factors of each term. - Cancel out the common factors in the numerator and the denominator. - Simplify the remaining expression.

Here is the detailed solution:

`(x-4)·(x+2):4x·(x+2) = [(x-4)(x+2)] : [4x(x+2)]`

`= [(x-4)(x+2)] / [4x(x+2)]`

`= (x-4) / 4x`

`= x/4 - 1`

The final answer is `x/4 - 1`.

I hope this helps you understand the problem. If you have any other questions, feel free to ask me.

: Factor the numerator and the denominator using the difference of squares formula. : Use the division symbol `/` instead of the colon `:` for clarity. : Cancel out the common factor `(x+2)` in the numerator and the denominator. : Simplify the expression by distributing the division.