You 12mn+30m²n³

2024-08-01 22:06:23

GPT4 To simplify the expression 12 𝑚 𝑛 + 30 𝑚 2 𝑛 3 12mn+30m 2 n 3 , we can factor out the common terms from each part of the expression.

Both terms share the common factors 𝑚 m and 𝑛 n:

12 𝑚 𝑛

12 ⋅ 𝑚 ⋅ 𝑛 12mn=12⋅m⋅n 30 𝑚 2 𝑛 3

30 ⋅ 𝑚 ⋅ 𝑚 ⋅ 𝑛 ⋅ 𝑛 ⋅ 𝑛 30m 2 n 3 =30⋅m⋅m⋅n⋅n⋅n The greatest common factor (GCF) is 𝑚 ⋅ 𝑛 m⋅n.

Let's factor 𝑚 𝑛 mn out of the expression:

12 𝑚 𝑛 + 30 𝑚 2 𝑛 3

𝑚 𝑛 ( 12 + 30 𝑚 𝑛 2 ) 12mn+30m 2 n 3 =mn(12+30mn 2 )

Thus, the factored form of the expression is:

12 𝑚 𝑛 + 30 𝑚 2 𝑛 3

𝑚 𝑛 ( 12 + 30 𝑚 𝑛 2 ) 12mn+30m 2 n 3 =mn(12+30mn 2 )

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