8x²+20x+8/2x+4

Answer 1

To simplify the expression, you need to factor the numerator and denominator separately.

Numerator:
8x² + 20x + 8
First, factor out the greatest common factor, which is 4:
4(2x² + 5x + 2)
Next, factor the quadratic inside the parentheses:
4(2x + 1)(x + 2)

Denominator:
2x + 4
Factor out the greatest common factor, which is 2:
2(x + 2)

Now, divide the factored numerator by the factored denominator:
(4(2x + 1)(x + 2)) / (2(x + 2))

Since there is a matching factor of (x + 2) in both the numerator and denominator, you can cancel it out:
2(2x + 1) / 1

Therefore, the simplified expression is:
2(2x + 1)