IannF440301 IannF440301
  • 03-11-2022
  • Mathematics
contestada

Factor this question Q3+125

Respuesta :

MarquesS644452 MarquesS644452
  • 03-11-2022
[tex]q^3+125[/tex]

write 125 as a power in base 5

[tex]q^3+5^3[/tex]

then, apply the rule for the addition of cubes

[tex]\begin{gathered} a^3+b^3=(a+b)\cdot(a^2-a\cdot b+b^2) \\ \text{then, } \\ q^3+5^3=(q+5)\cdot(q^2-5x+5^2) \\ q^3+5^3=(q+5)\cdot(q^2-5x+25) \end{gathered}[/tex]

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