Question

without actually calculating the cubes find the value of
${55}^{3} - {25}^{3} - {30}^{3}$
​

Answer 1

Answer:

123750

Step-by-step explanation:

We know that if (a+b+c)=0 then a³+b³+c³=3abc

in this a=55, b=-25, c= -30

55 +(-25)+(-30) = 55-55 = 0

so 55³ - 25³ - 30³ = 3(55)(-25)(-30)

=165(750)

=123750