The simplification of the expression (6x - 5)(2x^2 - 3x -6) is 12x^3 - 28x^2 - 21x + 30.
According to the given question.
We have an expression
(6x - 5)(2x^2 - 3x -6)
To simplify the above expression we will use the distributive law.
Distributive law relate the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac.
Therefore,
(6x - 5)(2x^2 - 3x -6)
= 6x(2x^2 - 3x - 6) -5(2x^2 -3x - 6) (by distributive law)
= 12x^3 - 18x^2 - 36x - 10x^2 + 15x + 30
= 12x^3 - 28x^2 - 21x + 30
Hence, the simplification of the expression (6x - 5)(2x^2 - 3x -6) is 12x^3 - 28x^2 - 21x + 30.
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