Answer
$-\text{ }\text{ } 10$
$+ \text{ } \text{ }100$;
Work Step by Step
The given expression can be written as:
$=x^3+10^3$
(a difference of two cubes)
RECALL:
The difference of two cubes $a^3-b^3$ can be factored as $(a-b)(a^2+ab+b^2)$.
Factor the difference of two cubes using the formula above with $a=x$ and $b=10$ to obtain:
$=(x-10)(x^2+x(10)+10^2)
\\=(x-10)(x^2+10x+100)$
Thus, the missing expressions in the given statement are:
$-\text{ }\text{ } 10$
$+ \text{ } \text{ }100$;
