Question

The product of a binomial and trinomial is x^3+3x^2-x+2x^2+6x-2 which expression is equivalent to this product after it has been fully simplified?

Answer 1

Answer: First option.

Step-by-step explanation:

You know that the product obtained by multiplying a binomial and a trinomial is:

$x^3+3x^2-x+2x^2+6x-2$

Then, in order to simplify this product, it is necessary to add the like terms.

Therefore, the expression that is equivalent to this product after it has been fully simplified is:

 $=x^3+(3x^2+2x^2)+(6x-x)-2\\\\=x^3+5x^2+5x-2$

You can  observe that this matches with the first option.