Question

If a+c=b then find the value of a³+b³+3abc=b³​

Answer 1

Answer:

To find : a³ + b³ + 3abc = b³ ; Given : a + c = b - (1)

Step-by-step explanation:

solution :. a + c = b

( Taking cube on both the sides )

( a + c )³ = b³

a³ + c³ + 3ac(a+c) = b³. [ using property ( x+y)³]

a³ + c³ + 3acb = b³ [ As from (1) a + c = b, substituting value ]

Hence Proved, a³+c³+3abc = b³

- OR -

Solution : a³ + b³ + 3abc = b³

subtracting b³ on both sides

a³ + b³ - b³ + 3abc = b³ - b³

a³ + 3abc = 0

substituting value of 'b' from 1

a³ + 3ac( a + c ) = 0

a³ + 3a²c + 3ac² = 0