codyyounkin2002
codyyounkin2002 codyyounkin2002
  • 26-04-2019
  • Mathematics
contestada

Place the indicated product in the proper location on the grid. 3a^n(a^n + a^n-1) =

Respuesta :

gmany
gmany gmany
  • 01-05-2019

Answer:

[tex]\large\boxed{3a^n(a^n+a^{n-1})=3a^{2n}+3a^{2n-1}}[/tex]

Step-by-step explanation:

[tex]3a^n(a^n+a^{n-1})\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3a^n)(a^n)+(3a^n)(a^{n-1})\qquad\text{use}\ x^n\cdot x^m=x^{n+m}\\\\=3a^{n+n}+3a^{n+n-1}\\\\=3a^{2n}+3a^{2n-1}[/tex]

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