Answer
$9x^{2}(x^{2}-2x+3)$
Work Step by Step
To solve this algebraic expression by multiplying the monomial and trinomial using the distributive property of multipication.
Distribute $9x^{2}$ in each term by multiplying.
Then, find the product of each term. To perform the exponent, apply the properties or law of exponent. Which is the product of a power.
Example: $(x^{a})(x^{b})$ = $x^{a+b}$
$(x^{2})(x^{2})$ = $x^{2+2}$ = $x^{4}$
$9x^{2} (x^{2} - 2x + 3)$
=$9x^{2}(x^{2})$ - $9x^{2}(2x)$ + $9x^{2}(3)$
= $9x^{4}$ - $18x^{3}$+ $27x^{2} $ answer
