If x>3, which of the following is equivalent to ? A)
B)
C)
D)

x^2 +5x+6

2x+5

Step-by-step explanation:

1

1/(x+2) + 1/(x+3)

Multiply by ( x+2) * (x+3) in the numerator and denominator

1 * ( x+2) * (x+3)

(1/(x+2) + 1/(x+3)) *( x+2) * (x+3)

Distribute

( x+2) * (x+3)

((x+3) + (x+2))

Combine like terms

( x+2) * (x+3)

2x+5

Foil the numerator

x^2 +2x+3x+6

2x+5

Combine like terms

x^2 +5x+6

2x+5

B.

Step-by-step explanation:

Add the fractions in the denominator.

Denominators are equal, so combine.

Combine like terms.

Back to the problem.

Apply fraction rule 1/b/c = c/b

Expand the brackets in the numerator.

step-by-step explanation:

-2

7 - 9 = -2

reversed:

-2 + 9 = 7