Question

find the value by using suitable identity [5/6]^3+[-1/2]^3+[-1/3]^3 plzz iwill give 40points

Answer 1

Answer:

213×187

⇒(200+13)(200−13)

⇒(200)

2

−(13)

2

[(a+b)(a−b)=a

2

−b

2

]

⇒ 40000 - 169

⇒ 39831

Answer 2

Answer:

Let

a = 5/6 , b = - 1/2, c = - 1/3

Then

a+b+c = 5/6 - 1/2 - 1/3 = 0

Now we know that if a +b+c = 0 then

a³ + b³ + c³ = 3abc

So (5/6)³ + (-1/2)³ +( - 1/3)³ = 3×(5/6)×(-1/2)×(-1/3) = 5/12

Please Mark it Brainliest