Question

ansmer the question quickly

Answer 1

Answer:

Option(D)

Step-by-step explanation:

(i) Given a + b + c = 10.

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

⇒ (10)² = 83 + 2(ab + bc + ca)

⇒ 100 = 83 + 2(ab + bc + ca)

⇒ 17/2 = ab + bc + ca

Now,

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

                              = (10)[83 - (ab + bc + ca)]

                              = (10)[83 - 17/2]

                              = (10)[149/2]

                              = 745.

Therefore, a³ + b³ + c³ - 3abc = 745.

Hope it helps!

Answer 2

Hi!!!!!


Refer to the attachment