Simplify 5x-10/x^2-4x+4
Please help me simplify, I am at a loss. Thanks!
To simplify the expression (5x - 10) / (x^2 - 4x + 4), you can follow these steps:
Step 1: Factor the denominator.
The denominator (x^2 - 4x + 4) can be factored as (x - 2)(x - 2), or simply (x - 2)^2.
Step 2: Rewrite the expression.
Rewrite the expression using the factored denominator:
(5x - 10) / (x - 2)^2
Step 3: Simplify the numerator.
There are no common factors to simplify in the numerator (5x - 10), so it remains as is.
Step 4: Simplify the denominator.
Since the denominator is already factored, (x - 2)^2, it is in its simplest form.
Step 5: Combine the simplified numerator and denominator.
The simplified expression is:
(5x - 10) / (x - 2)^2
And that's it! The expression (5x - 10) / (x^2 - 4x + 4) cannot be further simplified.