Anthony009 Anthony009
  • 03-09-2020
  • Mathematics
contestada

Simplify: [tex]\frac{1}{(x+3)(x+4)} +\frac{2}{(x+4)(x+5)}[/tex]

Respuesta :

jimrgrant1 jimrgrant1
  • 03-09-2020

Answer:

[tex]\frac{3x+11}{(x+3)(x+4)(x+5)}[/tex]

Step-by-step explanation:

Before adding we require the fractions to have a common denominator.

Multiplying the numerator/ denominator of the first fraction by (x + 5)

Multiplying the numerator/ denominator of the second fraction by (x + 3)

= [tex]\frac{x+5}{(x+3)(x+4)(x+5)}[/tex] + [tex]\frac{2(x+3)}{(x+3)(x+4)(x+5)}[/tex]

Now add the numerators leaving the common denominator

= [tex]\frac{x+5+2x+6}{(x+3)(x+4)(x+5)}[/tex]

= [tex]\frac{3x+11}{(x+3)(x+4)(x+5)}[/tex]

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