Which expression is equivalent to (x+1)^2-9/x+4
x – 2
x + 2
x – 4
x + 4
2 answers:
Answer: First option
Step-by-step explanation:
By definition:
Then, you can simplify the numerator as following:
Factor the numerator. Find two number whose sum is 2 and whose product is -8. THese would be 4 and -2. Then:
Simplify. Then you obtain:
Answer:
Choice A is correct.
Step-by-step explanation:
We have given the expression:
(x+1)²-9/x+4
We have to simplify the expression.
As we know that :
(x+y)²=x²+y²+2xy
So, we use this formula in the nominator we get,
(x²+1+2x)-9/x+4
x²+1+2x-9/x+4
x²+2x-8/x+4
We have to split the middle term in the nominator such that the sum of two numbers is 2 and the product is -8x² that is +4x and -2x. we get,
x²+4x-2x-8/x+4
(x+4)(x-2)/(x+4)
(x-2) is the answer.
Choice A is correct.
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