Question

If x=y-z, show that x³-y³+z³+3xyz

Answer 1

Answer:

- z

Step-by-step explanation:

(x+y)3=(−z)3

⟹x3+y3+3x2y+3xy2=−z3

⟹x3+y3+3xy(x+y)=−z3

⟹x3+y3+3xy(−z)=−z3

⟹x3+y3−3xyz=−z3

⟹x3+y3+z3=3xyz