Question
Simplify (324-4x^(2))/(2x+18) A. 2(x-9) B. 2(9+x) C. 81-x^(2) D.
Solution
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NikitaProfessional · Tutor for 6 years
Answer
<p> A</p>
Explain
<p> Looking at the given expression and comparing it with the options, we can notice that the expression fits the difference of squares identity: a^2 - b^2 = (a - b)(a + b). Here, substituting a = 18 and b = 2x, the numerator becomes (18 - 2x)(18 + 2x). We have the denominator as 2x + 18 which is the same as (18 + 2x) in the numerator. Hence cancelling out this, we get the simplified expression as (18 - 2x) = 2(9 - x). Which can also be written as 2(x - 9) by removing the negative sign. This matches with choice A. </p>
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