Middle School

Choose the correct simplification of [tex]9x^2(4x + 2x^2 − 1)[/tex].

A. [tex]18x^4 + 36x^3 − 9x^2[/tex]
B. [tex]18x^4 − 36x^3 + 9x^2[/tex]
C. [tex]36x^4 + 18x^3 − 9x^2[/tex]
D. [tex]36x^4 − 13x^3 + 9x^2[/tex]

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

first one 18x4 + 36x3 - 9x2

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