Respuesta :

garydesir1
Hello there!

(x^4 + 1)(3x^2 + 9x + 2)

We need to use the distributive property

=(x^4)(3x^2) + (x^4)(9x) + (x^4)(2) + (1)(9x) + (1)(2)

= 3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2


Let me know if you have any misunderstanding. As always, it is my pleasure to help students like you.

Answer:  The required multiplied expression is [tex]3x^6+9x^5+2x^4+3x^2+9x+2.[/tex]

Step-by-step explanation:  We are given to multiply the following :

[tex]E=(x^4+1)(3x^2+9x+2)~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following property to execute the multiplication :

[tex](a+b)\times c=a\times c+b\times c.[/tex]

From (i), we have

[tex]E\\\\=(x^4+1)(3x^2+9x+2)\\\\=x^4(3x^2+9x+2)+1(3x^2+9x+2)\\\\=3x^6+9x^5+2x^4+3x^2+9x+2.[/tex]

Thus, the required multiplied expression is [tex]3x^6+9x^5+2x^4+3x^2+9x+2.[/tex]

Otras preguntas