Respuesta :

  • 5mn(2m+6n + 1)

[tex] \: [/tex]

Explanation :

So, here we are to factor the polynomial :

[tex]\\ \longrightarrow \sf \qquad10m^2n+30mn^2+5mn\\ \\[/tex]

[tex] \longrightarrow \sf \qquad5mn(2m+6n + 1)\\ \\[/tex]

Some points to know :

  • Factorisation is the reverse process of multiplucation.

  • The Factorisation is the process of finding two or more expressions such that their product is the given expression

Answer:

[tex]\boxed{5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)}[/tex]

Step-by-step explanation:

[tex]10m ^ { 2n } +30mn ^ { 2 } +5mn[/tex]

Factor out the common factor: 5

[tex]=5\left(2m^{2n}+6mn^{2}+mn\right) [/tex]

[tex]=5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)[/tex]

=》This expression cannot be further simplified.

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Hope it helps ⚜