How would the expression x^3+27 be rewritten using sum of cubes

ANSWER:  

After rewriting the given expression as sum of cubes, it is

SOLUTION:

Given, expression is

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 – ,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.

So, now the expression is

Hence, after rewriting the given expression as sum pf cubes, it is

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

the answer would be 0.54