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Answer :
Final answer:
The simplest form of the expression 3x³ + x² + 2 (x³ − 4x²) is 5x³ - 7x².
Explanation:
To simplify the expression 3x³ + x² + 2 (x³ − 4x²), we first distribute the 2 to the terms inside the parentheses. This gives us: 3x³ + x² + 2x³ − 8x². We can then combine like terms by adding the coefficients of x³ and x² separately: 3x³ + 2x³ + x² − 8x².
When we combine the like terms, we add the coefficients of x³, which gives us 5x³, and we also add the coefficients of x², which gives us -7x². Therefore, the simplest form of the given expression is 5x³ - 7x².
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