Which shows the rational expression written using the least common denominator?
x+1/4x^2 + x+1/x^2

A) x+1/4x^2 + 4(x+1)/4x^2
B) x+1/x^2 + x+1/x^2
C) x+1/x^2 + 4(x+1)/x^2
D) x+1/4x^2 + x+1/4x^2

Question

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Respuesta :

Eduard22sly Eduard22sly · Answer 1 · 2020-07-30T04:05:40+02:00

Answer:

(x + 1)/4x² + 4(x + 1)/4x²

Step-by-step explanation:

x+1/4x² + x+1/x²

The above can be simply as follow:

Find the least common multiple (LCM) of 4x² and x². The result is 4x²

Now Divide the LCM by the denominator of each term and multiply the result with the numerator as show below:

(4x² ÷ 4x²) × (x + 1) = x + 1

(4x² ÷ x²) × (x + 1) = 4(x + 1)

x+1/4x² + x+1/x² = [(x + 1) + 4(x + 1)]/ 4x²

= (x + 1)/4x² + 4(x + 1)/4x²

Therefore,

x+1/4x² + x+1/x² = (x + 1)/4x² + 4(x + 1)/4x²

charizard1987pokemon charizard1987pokemon · Answer 2 · 2021-11-03T16:00:59+01:00

Answer: A

Step-by-step explanation:

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