Question

If a=23, b=27 and c=-50 then the value of a3+b3-c3+3abc is ​

Answer 1

Answer:

= a cube + b cube + c cube

= 23 cube + 27 cube + -50 cube

= 12167+ 19683-12500

= - 29350

Answer 2

Step-by-step explanation:

Consider the expression a

3

+b

3

−c

3

+3abc and substitute a=23,b=27 and c=50 as shown below:

a

3

+b

3

−c

3

+3abc=(23)

3

+(27)

3

−(50)

3

+(3×23×27×50)=12167+19683−125000+93150

=(12167+19683+93150)−125000=125000−125000=0

Hence, a

3

+b

3

−c

3

+3abc=0