Question

evaluate 1/2 power 3 +1/3 power 3-5/6 power 3 .


please help me ​

Answer 1

Answer:

Let a = 1/2

b = 1/3 ,

a + b = 1/2 + 1/3

= ( 3 + 2 )/6

= 5/6

Now ,

.LHS = ( 1/2 )³ + ( 1/3 )³

= ( 1/2 + 1/3 )³ - 3 × 1/2 × 1/3 ( 1/2 + 1/3 )

= ( 5/6 )³ - 3 × 1/6 × 5/6

= ( 5/6 ) [ ( 5/6 )² - 1/2 ]

= ( 5/6 ) [ 25/36 - 1/2 ]

= ( 5/6 ) [ ( 25 - 18 ) / 36 ]

= ( 5/6 ) ( 7/36 )

= 35/6³

Step-by-step explanation: