Question

Помогите упростить пожалуйста! c^2+3c/c^2-4 : 2c+6/c-2

Answer 1

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Answer 2

Simplifying the Expression

To simplify the expression c^2 + 3c / c^2 - 4 : 2c + 6 / c - 2, we can follow these steps:

1. Factorize the expressions in the numerator and denominator. 2. Simplify the expression by canceling out common factors.

Step-by-Step Simplification

First, let's factorize the expressions in the numerator and denominator:

The given expression is: (c^2 + 3c) / (c^2 - 4) : (2c + 6) / (c - 2)

Factorizing the expressions: - Numerator: c(c + 3) - Denominator: (c + 2)(c - 2)

Now, the expression becomes: c(c + 3) / (c + 2)(c - 2) : 2(c + 3) / (c - 2)

Next, let's simplify the expression by canceling out common factors:

- We can cancel out the common factor (c + 3) in the numerator and denominator of the left fraction. - We can cancel out the common factor (c - 2) in the numerator and denominator of the right fraction.

After canceling out the common factors, the expression becomes: c / (c + 2)

So, the simplified form of the given expression is c / (c + 2).

This is the simplified form of the given expression.

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