Question

Evaluate 10^3-15^3+5^3...
I had asked it 2 times

Answer 1

Answer

10³-15³+5³

= 1000-3375+125

= 2250

Hope that helps you ∩_∩

Answer 2

We're given,

$10^3-15^3+5^3$

But first, avoid the cubes and add the numerals. We get zero!

$10-15+5=0$

So we may remember,

$\boxed{\begin{minipage}{6.7cm}If \ a+b+c=0, \ then \ a^3+b^3+c^3=3abc \end{minipage}}$

Here,

$a=10\quad;\quad b=-15\quad;\quad c=5$

So we can easily find the answer as,

$3\times10\times-15\times5=\mathbf{-2250}$

This is how the given sum of cubes is calculated without actually finding the individual cubes of those three!