Question

R = (x + 3n)(x – 3n)(x2 + 9n2) + 81n4
Con procedimiento me ayudan

Answer 1

Hola! :3

Resolvemos:

R= (x+3n)(x-3n)(x²+9n²)+81n⁴

R= (x²-(3n)²)(x²+9n²)+81n⁴

R= (x²-9n²)(x²+9n²)+81n⁴

R= (x²)²-(9n²)²+81n⁴

R= x⁴-81n⁴+81n⁴

R= x⁴+0

R= x⁴

El resultado de "R" es x⁴

Espero haberte ayudado :D

Answer 2

Respuesta:

[tex]\mathrm{R=\left(x+3n\right)\left(x-3n\right)\left(x^2+9n^2\right)+81n^4}[/tex]

[tex]\mathrm{\left(x+3n\right)\left(x-3n\right)=x^2-9n^2}[/tex]

[tex]\mathrm{Recordar \ que:} \ \ \bold{\left(a-b\right)\left(a+b\right)=a^2-b^2}[/tex]

[tex]\mathrm{\left(x^2-9n^2\right)\left(x^2+9n^2\right)}[/tex]

[tex]\mathrm{\left(x^2\right)^2-\left(9n^2\right)^2=x^4-81n^4}[/tex]

[tex]\mathrm{x^4-81n^4+81n^4}[/tex]

[tex]\mathrm{-81n^4+81n^4=0}[/tex]

[tex]\boxed{\mathrm{R=x^4}}[/tex]

Solución: El valor de "R" es x⁴.

Saludos...