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Which shows the expressions rewritten with the least common denominator?

7x-2/4x^2 and x-1/8x

A. 28x-8/16x^2 and 2x^2-2x/16x^2
B. 14x-4/8x^2 and 2x-2/8x^2
C. 28x^2-8x/16x^3 and 2x^3-2x^2/16x^3
D. 14x-4/8x^2 and x^2-x/8x^2

Sagot :

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Answer:

  D.  (14x-4)/(8x^2) and (x^2-x)/(8x^2)

Step-by-step explanation:

The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.

  [tex]\left\{\dfrac{7x-2}{4x^2},\ \dfrac{x-1}{8x}\right\}=\left\{\dfrac{7x-2}{4x^2}\cdot\dfrac{2}{2},\ \dfrac{x-1}{8x}\cdot\dfrac{x}{x}\right\}\\\\=\left\{\dfrac{14x-4}{8x^2},\ \dfrac{x^2-x}{8x^2}\right\}[/tex]

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