Daiyaan Daiyaan
  • 13-07-2019
  • Mathematics
contestada

If (a+b+c) = 5 and ab+bc+ac = 10. Prove that a3+b3+c3 -3abc = -25​

Respuesta :

jimrgrant1 jimrgrant1
  • 13-07-2019

Answer:

see explanation

Step-by-step explanation:

Using the identity

(a + b + c)³ = a³ + b³ + c³ + 3 [ (a + b + c)(ab + bc + ac) - abc ], then

5³ = a³ + b³ + c³ + 3(5 × 10) - 3abc, that is

125 = a³ + b³ + c³ + 150 - 3abc, hence

a³ + b³ + c³ - 3abc = 125 - 150 = - 25

Answer Link

Otras preguntas

Can water and pebbles form a solution?
Can water and pebbles form a solution?
The cost of 5 similar digital cameras and 3 similar video cameras is 3213. Each video camera costs 4 times as much as each digital camera. John buys a digital c
What is 689 divided by 53
How did machines speed up  textile manufacturing
You bought a car for $25,000. You have owned it for one year, and it is now worth $21,000. What is the percent decrease in your car's value?16%19%84%119%
what is a device that transforms thermal energy to mechanical energy
The distance from home plate to second base is about 127.3 ft.  1.  How would you find the distance between the bases.2.  Estimate the distance between the base
Why did the Virginia Company give settlers the right to self-government?
What is 689 divided by 53