Math, asked by chauhanraghav956, 5 months ago

if a2+. b2+. c2 =35 ,Ab + bc +ac=13 find value of a +b +c​

Answers

Answered by mandeepchauhan87
2

Answer:

a + b + c = 9 ...(i)

a² + b² + c² = 35 ...(ii)

➽ (a + b + c)² - 2 (ab + bc + ca) = 35

➽ 9² - 2 (ab + bc + ca) = 35

➽ 2 (ab + bc + ca) = 81 - 35

➽ 2 (ab + bc + ca) = 46

➽ ab + bc + ca = 23 ...(iii)

Now,

a³ + b³ + c³ - 3abc

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

= (a + b + c) {(a² + b² + c²) - (ab + bc + ca)}

= 9 (35 - 23), using (i), (ii) and (iii)

= 9 × 12

= 108

Answered by ankitaaryan20
1

Mark me as brainliest

The answer is

108

and above is the solution

Attachments:
Similar questions