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]

Answer Link

Otras preguntas

To modify a prediction means to _____. a.confirm the prediction b.preview the prediction c.anticipate the prediction d.change the prediction
What territories did russia have before wwi?
I really need help plzz. Can you help me rewrite part of this poem? Continuous as the stars that shine And twinkle on the milky way, They stretched in nev
What developed along with farming? Will mark first BRAINLYIST
Which person would have been LEAST likely to be considered a "Progressive" in the early 20th century? A) farmer B) socialist C) housewife D) journalist
How many ounces are in 3/8 of a pound?
The economist whose writings in the 1930's concluded that the cause of an economic depression is inadequate spending was:
Whats the answer____________________
Name at least four things that smart shoppers do?
Please help!!! Thank you!!!