Question

without calculating the cubes find the value of (25)³+(14)³+(-39)³​

Answer 1

Answer:

-40950

Step-by-step explanation:

a+b+c = 0

a³+b³+c³ = 3abc

(25)³+(14)³+(-39)³ = 3(25)(14)(-39)

(25)³+(14)³+(-39)³ = -40950

Answer 2

Answer:

-40950

Step-by-step explanation:

(A+B)³= A³+B³+3A²B+3AB²-------(1)

Now, put A=25 and B=14

(1)⇒A³+B³= (A+B)³- 3AB(A+B)

(25)³+(14)³ = (39)³-3(14)(25)(25+14)

thus moving on to the question,

⇒(39)³-3(14)(25)(14+25)+ (-39)³

⇒-3(14)(25)(14+25)

⇒-3(14)(25)(39)

⇒-40950