Respuesta :
Answer:
A the first option is correct. Edge 2020
Step-by-step explanation:
4x³ + 8x² + 4x + 3 that is correct.
i'm going back a re-answering all the questions I answered because someone is deleting all my answers.
The simplification of the polynomial expression (2x−1)(2x²+5x+3)+(3x+6) is 4x³+8x²+4x+3. The correct option is A, 4x³ + 8x² + 4x + 3.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given polynomial expression can be simplified as shown below.
(2x − 1)(2x² + 5x + 3) + (3x + 6)
Opening the first brackets,
= 2x(2x² + 5x + 3) − 1(2x² + 5x + 3) + (3x + 6)
Opening the other brackets,
= 4x³ + 10x² + 6x − 2x² − 5x − 3 + 3x + 6
Bring all the like terms together to simplify,
= 4x³ + 10x² − 2x² + 6x − 5x + 3x − 3 + 6
Simplify the expression
= 4x³ + 8x² + 4x + 3
Hence, the simplification of the polynomial expression (2x−1)(2x²+5x+3)+(3x+6) is 4x³+8x²+4x+3.
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