Question

if x+y=z then find x3+y3-z3-3xyz​

Answer 1

Required Answer:-

Given:

• x + y = z

To find:

• x³ + y³ - z³ + 3xyz

Solution:

Given that,

➡ x + y = z

➡ x + y - z = 0

➡ x + y + (-z) = 0

We know that,

If a + b + c = 0,then a³ + b³ + c³ - 3abc = 0

Here, a = x, b = y, c = -z

So,

a³ + b³ + c³ - 3abc

= x³ + y³ - z³ - 3 × x × y × (-z)

= x³ + y³ - z³ + 3xyz

= 0

So,

x³ + y³ - z³ + 3xyz = 0 (Answer)