What is factor 2amn-6n-3m+am^2 ?

The solution to factor 2amn-6n-3m+am^2 is (-3+am)(2n+m)

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factor 2amn-6n-3m+am^2

factor

2 amn - 6 n - 3 m + a m^{2}

(- 3 + am) (2 n + m)

Solution steps

2 amn - 6 n - 3 m + a m^{2}

Rewrite as

= 2 nam - 3 \cdot 2 n - 3 m + a m^{2}

Factor out common term

2 n

= 2 n (am - 3) - 3 m + a m^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

m^{2} = mm

= 2 n (- 3 + am) - 3 m + amm

Factor out common term

m

= 2 n (- 3 + am) + m (- 3 + am)

Factor out common term

(- 3 + am)

= (- 3 + am) (2 n + m)

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What is factor 2amn-6n-3m+am^2 ?
The solution to factor 2amn-6n-3m+am^2 is (-3+am)(2n+m)