Answer:
Option (C) is correct .
Step-by-step explanation:
As the expression given in the question as follows.
Now rationalize the expression.
Using the formula
a² - b² = (a - b) (a + b)
Using in the above
As i² = -1
Option (C) is correct .
A circular flower bed is 24 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk
1 answer:
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Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)