What is the sum? StartFraction 3 Over x EndFraction + StartFraction 4 Over x squared EndFraction StartFraction 3 x + 4 Over x cubed EndFraction StartFraction 7 Over x EndFraction StartFraction 3 x + 4 Over x squared EndFraction StartFraction 7 Over x + x squared EndFraction

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Answer:

Third option:

StartFraction 3 x + 4 Over x squared EndFraction

Step-by-step explanation:

3/x + 4/x²

LCM: x²

(3×x + 4)/x²

(3x + 4)/x²

The sum of the given expression is [tex]\frac{3x + 4}{x^2}[/tex].

The given parameters:

  • [tex]\frac{3}{x} + \frac{4}{x^2}[/tex]

The sum of the given fraction is calculated as follows;

  • the lowest common multiple (l.c.m) of the given denominator:
  • x and x² = x²

Using the l.c.m as the common divisor, the expression can be simplified as follows;

[tex]\frac{3}{x} + \frac{4}{x^2} = \frac{3(x) + 4}{x^2} = \frac{3x + 4}{x^2}[/tex]

Thus, the sum of the given expression is [tex]\frac{3x + 4}{x^2}[/tex].

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