Question

Choose the correct simplification of 9x2(4x + 2x2 − 1).

Answer 1

Answer:

$18x^{4}+36x^{3} -9x^{2$

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

$(a*x^{n}) *(b*x^{m} )=ab*x^{n+m}$

$9x^{2} (4x+2x^{2} -1)=(9x^{2} *4x)+(9x^{2})(2x^{2} )-9x^{2}*(1)\\ =36x^{3} +18x^{4} -9x^{2} \\\\now,\ organizing\ the\ terms\\\\\\9x^{2} (4x+2x^{2} -1)=18x^{4}+36x^{3} -9x^{2}$

the answer you are searching for is

$18x^{4}+36x^{3} -9x^{2}$

Have a great day

Answer 2

first one 18x4 + 36x3 - 9x2