Divide (x^2+2x+ over x^2-8x+16) over(x+1 over x^2-16)
A. (x-1) (x+4)over x+1
B.(x+1)(x+4)over (x-4)
C. (x+1)(x+4)over (x-1)
D.(x-1)(x-4)over (x+4)
I suspect you are missing a term and it should be like this. (or else not much will cancel)
[(x^2 + 2x + 1)/(x^2 - 8x + 16) ] / [(x+1)/(x62-16) ]
= [(x+1)(x+1)/(x-4)(x-4)) ]/[ (x+1)/(x-4)(x+4) ]
= (x+1)(x+1)/(x-4)(x-4)) * (x-4)(x+4)/(x+1)
= (x+1)(x+4)/(x-4)
Can someone help me?
When a math tutor comes online, he/she will help.
Patience!
thanks
To divide the given expression, follow these steps:
Step 1: Factorize the numerator and denominator.
The numerator can be factored as (x + 2)(x + 1).
The denominator can be factored as (x - 4)(x - 4), which is equivalent to (x - 4)^2.
So, the expression can be rewritten as [(x + 2)(x + 1)] / [(x - 4)^2] * (x / [(x + 1)(x - 4)(x + 4)]).
Step 2: Cancel out common factors.
In the numerator, we can cancel out the (x + 1) term with the (x + 1) term in the denominator.
In the denominator, we can cancel out the (x - 4) term with one of the terms in the numerator.
After canceling out the common factors, the expression simplifies to (x + 2) / [(x - 4)(x + 4)].
Step 3: Simplify further, if possible.
To simplify this expression, we can expand the denominator: (x - 4)(x + 4) = x^2 - 16.
Therefore, the expression simplifies to (x + 2) / (x^2 - 16).
So, the final answer is (x + 2) / (x^2 - 16).
None of the given options match this result, so none of the options A, B, C, or D is correct.