Question

10m^2n+30mn^2+5mn

factor the polynomial

Answer 1

`\boxed{5\left(6mn^(2)+mn+2\left(m^(n)\right)^(2)\right)}`

Explanation:

`10m ^ { 2n } +30mn ^ { 2 } +5mn`

Factor out the common factor: 5

`=5\left(2m^(2n)+6mn^(2)+mn\right)`

`=5\left(6mn^(2)+mn+2\left(m^(n)\right)^(2)\right)`

=》This expression cannot be further simplified.

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Hope it helps ⚜

Answer 2

• 5mn(2m+6n + 1)

`\:`

Explanation :

So, here we are to factor the polynomial :

`\\ \longrightarrow \sf \qquad10m^2n+30mn^2+5mn\\ \\`

`\longrightarrow \sf \qquad5mn(2m+6n + 1)\\ \\`

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