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  • 09-06-2021
  • Mathematics
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factorise fully p^3 + p^2

factorise fully p3 p2 class=

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gmany
gmany gmany
  • 09-06-2021

Answer:

[tex]\huge\boxed{p^3+p^2=p^2(p+1)}[/tex]

Step-by-step explanation:

[tex]p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)[/tex]

Used:

[tex]a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac[/tex]

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