The resulting expression will be (5x² + 2)(3x - 1). The correct answer is option A.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The grouping of the given expression will be done as:-
You start off with 15x³ - 5x²+ 6x - 2
You first group the first two terms together, and then the last two pairs together: (15x³ - 5x²) (6x - 2)
Then you simplify (just factor out as much as you can): 5x²(3x - 1) 2(3x - 1)
Then you take the terms that you get from doing that.
To find the First Term:
5x² (3x - 1) 2(3x - 1)
(5x² + 2)
To find the Second Term:
5x²(3x - 1) 2(3x - 1)
(3x - 1)
So your terms are (5x² + 2) and (3x -1)
Therefore the resulting expression will be (5x² + 2)(3x - 1)
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