Break down the expression into basic terms:
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Break down the expression into basic terms:
To break down the expression into its basic terms, we need to look for a common factor in both terms.
The first term is , which can be rewritten as .
The second term is, which can be rewritten as .
The common factor between the terms is .
Thus, the expression can be broken down into , and further rewritten with common factors as .
Break down the expression into basic terms:
\( 4x^2 + 6x \)
Basic terms show each coefficient and variable as separate factors: . Factoring groups common factors: . They're different processes!
Breaking into shows the basic multiplication structure. This helps you see exactly what's being multiplied together, which is essential for understanding polynomial operations.
For basic term decomposition, you typically keep whole number coefficients like 4 and 6 as single factors. Only break them down if specifically asked for prime factorization.
This is the opposite of distributing! Here you're expanding each term to show all its factors. Distributing would combine terms, while decomposing separates them into basic parts.
Apply the same process to each term individually. Break down every coefficient and variable into its basic factors, keeping the addition signs between terms.
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