Math Problem Statement
You 12mn+30m²n³
20240801 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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Solution
Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Factoring
Formulas

Theorems

Suitable Grade Level
Grades 912