Answer:
6x^3 + x^2 - 12x^2 - 18x - 6x - 6 = 6x^3 - 18x^2 - 12x - 6.
Explanation:
simplify the expression (2x+3)(3x^2-6x+2)
First, we'll use the distributive property to expand the product of the two binomials:
(2x+3)(3x^2-6x+2) = 2x(3x^2-6x+2) + 3(3x^2-6x+2)
Next, we'll expand the product of each term in the first binomial with each term in the second binomial, using the distributive property again:
= 2x3x^2 + 2x(-6x) + 2x2 + 33x^2 + 3*(-6x) + 3*2
We can now simplify the resulting terms by combining like terms and combining the coefficients:
= 6x^3 -12x^2 + 4x + 9x^2 -18x + 6
we will combine the like terms
= 6x^3 - 18x^2 + 4x + 6
This is our final expression in standard form