Question

Write the value of the expressions when $a=1,b=3$ and $c=3.$

$a^3+b^3+c^3$

Answer 1

This expression can be written as :

$a^3+b^3+c^3=a\times a\times a+b\times b\times b+c\times c\times c$

Substitute the values of $a,b$and $c,$we get :

$$\begin{gathered} a^3+b^3+c^3=1\times 1\times 1+3\times 3\times 3+3\times 3\times 3 \\ =1+27+27 \\ =28+27 \\ =55 \end{gathered}$$

So, the value of given algebraic expression is $55.$