praneeth89 praneeth89
  • 13-11-2018
  • Mathematics
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a3x - x4 +a2x2 - ax3 factorise?

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gmany
gmany gmany
  • 13-11-2018

[tex]a^3x-x^4+a^2x^2-ax^3=(a^3x+a^2x^2)-(ax^3+x^4)\\\\=a^2x(a+x)-x^3(a+x)=(a+x)(a^2x-x^3)\\\\=x(a+x)(a^2-x^2)=\boxed{x(a+x)(a-x)(a+x)=x(a-x)(a+x)^2}\\\\Used:\\\\\ a^2-b^2=(a-b)(a+b)[/tex]

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