Question

answer of question no 33​

Answer 1

Answer:

756

Step-by-step explanation:

use expansion formulae

Answer 2

Answer:

Required value of a³ + b³ + c³ - 3abc = 756

Step-by-step explanation:

Given:

• a + b + c = 12
• a² + b² + c² = 90

______________&&&&____________

Solution:

Since, we know that,

• a³ + b³ + c³ - 3abc = (a + b + c)( a² + b² + c² - ab - bc - ca )

Now,

We also know that,

(a + b + c)² = (a² + b² + c² + 2(ab + bc + ca))

Putting the value of (a + b + c) = 12 & a² + b² + c² =90, We get,

=>12² = 90 + 2(ab + bc + ca)

=> 144 - 90 = 2(ab + bc + ca)

=>54/2 = (ab + bc + ca)

=> 27 = (ab + bc + ca)

So,

a³ + b³ + c³ - 3abc =(a + b + c)(a² + b² + c² -(ab + bc + ca))

Putting the value of (a + b + c) = 12; (a² + b² + c²) = 90; & (ab + bc + ca) = 27, we get,

= (12)*(90 - 27) = 12*63 = 756

____________________________________________

//Hope this will Helped You//

//Please mark it as Brainliest//