The simplified expression of [1/(x + 3) * 6/(x^2 + 4x + 3)] * (x + 3)/(x + 1) is 6/(x + 3), the value of x cannot be -3 and no value of x makes the expression equals 0
<h3>How to evaluate the expression?</h3>
The expression is given as:
[1/(x + 3) * 6/(x^2 + 4x + 3)] * (x + 3)/(x + 1)
Factorize the quadratic denominator
[1/(x + 3) * 6/(x + 3)(x + 1)] * (x + 3)/(x + 1)
Cancel out the common factors
1/(x + 3) * 6
Evaluate the product
6/(x + 3)
So, the simplified expression of [1/(x + 3) * 6/(x^2 + 4x + 3)] * (x + 3)/(x + 1) is 6/(x + 3)
<h3>The values x cannot be</h3>
We have
6/(x + 3)
Set the denominator to 0
x + 3 = 0
Solve for x
x = -3
Hence, the value of x cannot be -3
<h3>The value of x which the expression equals 0</h3>
We have
6/(x + 3)
Set to 0
6/(x + 3) = 0
Cross multiply
6 = 0 --- this equation is false
Hence, no value of x makes the expression equals 0
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