Answer :
Answer:
[tex]18x^{4}+36x^{3} -9x^{2[/tex]
Step-by-step explanation:
Hello
For this operation, the monomial must be multiplied by each of the monomials that form the polynomial
so, we have
by definition
[tex](a*x^{n}) *(b*x^{m} )=ab*x^{n+m}[/tex]
[tex]9x^{2} (4x+2x^{2} -1)=(9x^{2} *4x)+(9x^{2})(2x^{2} )-9x^{2}*(1)\\ =36x^{3} +18x^{4} -9x^{2} \\\\now,\ organizing\ the\ terms\\\\\\9x^{2} (4x+2x^{2} -1)=18x^{4}+36x^{3} -9x^{2}[/tex]
the answer you are searching for is
[tex]18x^{4}+36x^{3} -9x^{2}[/tex]
Have a great day