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

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.