Respuesta :

ANSWER:  

After rewriting the given expression as sum of cubes, it is [tex]x^{3}+3^{3}[/tex]

SOLUTION:

Given, expression is [tex]x^{3}+27[/tex]

Above given expression is cubic expression in one variable, that is x.

We were asked rewrite the given expression as sum of cubes.

Which means that, expression should only contain sum of terms which are in cubic form.

Now, let us consider one by one term in given expression.

First term – [tex]x^{3}[/tex] ,it is already in its cubic form, so no need of change.

Second term – 27, it is in normal form, and we know that, 27 is cube of 3, i.e. [tex]3^{3}[/tex]

So, now the expression is [tex]x^{3}+3^{3}[/tex]

Hence, after rewriting the given expression as sum pf cubes, it is [tex]x^{3}+3^{3}[/tex]