Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)

a

\(\frac{x+7}{x^2 - 1}\)

b

\(\frac{x-7}{x^2 + 1}\)

c

\(\frac{x-7}{x^2 - 1}\)

d

\(\frac{x-11}{x^2 - 1}\)

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Correct Option
c

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RiverHeights
2 years ago

4/X+1 - 3/X - 1
To multiply the bases
4 will get multiplied by (X -1)
3 will get multiplied by (X + 1)

4X - 4 - 3X + 3/ (X + 1) (X - 1)
X - 1/(X + 1) (X - 1)

= 1/X + 1

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