Question

Evaluate by using suitable identity : -25³+10³+15³

Answer 1

Answer:

(-11250)

Step-by-step explanation:

a=(-25) , b=10 , c=15

First Check if a+b+c=0

if a+b+c=0 then a³+b³+c³=3abc

-25+10+15=0

-25+25=0

0=0

LHS=RHS

∴We can apply a³+b³+c³=3abc

(-25)³+(10)³+(15)³=3×(-25)×(10)×(15)

                            =(-11250)