Question

Simplify 45³-25³-20³ without actually calculating the cubes.

Answer 1

Step-by-step explanation:

Let a=45,b=−25,c=−20

a+b+c=0

Therefore,

a^3 +b^3+c^3= 3abc

(45) ^3 +(−25)^ 3(−20)^3=3×45×(−25)×(−20)=67500

(45)3+(−25)3+(−20)3=3×45×(−25)×(−20)=67500