2b 2a
----------------- + -----------------
(b+a)^2 (b^2 - a^2)

2b 2a
= ----------------- + -------------------
(b+a)(b+a) (b+a)(b-a)

2b(b - a) + 2a(b + a)
= ------------------------------------
   (b+a)(b+a)(b-a)

2b^2 - 2ab + 2ab + 2a^2
= ---------------------------------------
     (b+a)(b+a)(b-a)

2b^2 + 2a^2
= ------------------------
   (b+a)(b+a)(b-a)

2(b^2 + a^2)
= ------------------------
   (b+a)^2 (b-a)

Answer:

Numerator: 2(b^2 + a^2)
Denominator: (b+a)^2 (b-a)

7 0

3 years ago

A string of decorative lights is 25 feet long. The first light on the string is 16 inches from the plug. The lights on the strin

joja [24]

25 feet = 25 x 12 = 300 inches

First light is at 16 inches.
300 - 16 = 284 inches

Find the rest of the bulbs:
284 ÷ 4 = 71

Total number of lights = 71 + 1 = 72

Answer 72 lights

8 0

3 years ago

What is 1.08 to the power of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D" id="TexFormula1" title="\frac{1}{5}" alt="

OlgaM077 [116]

Answer:

$about \: 1.01551$

Step-by-step explanation:

No it isn't, because:

${1.08}^{ \frac{1}{5} } = { \frac{108}{100} }^{ \frac{1}{5} } = { \frac{27}{25} }^{ \frac{1}{5} } = \sqrt[5]{ \frac{27}{25} } = 1.01551$

6 0

3 years ago

If f(x) =7 +4x and g(x) =1/2 what is the value of (f/g)

saw5 [17]

Answer:

10.8

Step-by-step explanation:

To find (f/g)(5), find f(5) and (g5) then divide the values.

f(5) = 7 + 4(5) = 27

g(5) = 1/2 (5) = 2.5

27/2.5 = 10.8

6 0

3 years ago