simplify
2x + 4 / 10x^2 + 24x + 8
You probably meant
(2x + 4) /(10x^2 + 24x + 8)
If so, then
= 2(x+2)/[2(x+2)(5x+2)]
= 1/(5x+2) , x not equal to -2
To simplify the given expression, we will follow these steps:
Step 1: Factor the numerator and denominator if possible.
Step 2: Cancel out common factors.
Step 3: Simplify any remaining terms.
Let's go through these steps for the given expression:
Step 1: Factor the numerator and denominator:
The numerator is already in its simplest form, so we don't need to factor it further.
The denominator can be factored as follows:
10x^2 + 24x + 8 = 2(5x^2 + 12x + 4)
Step 2: Cancel out common factors:
Now, let's see if there are any common factors between the numerator and denominator that can be canceled out.
Since there are no common factors between them, we cannot cancel anything out.
Step 3: Simplify any remaining terms:
So, the simplified form of the expression is:
2x + 4 / 2(5x^2 + 12x + 4)
And that is the simplest form of the given expression.