the product of a binomial and a trinomial is $x^{3}+3x^{2}-x + 2x^{2}+6x - 2$. which expression is…

the product of a binomial and a trinomial is $x^{3}+3x^{2}-x + 2x^{2}+6x - 2$. which expression is equivalent to this product after it has been fully simplified?\n$x^{3}+5x^{2}+5x - 2$\n$x^{3}+2x^{2}+8x - 2$\n$x^{3}+11x^{2}-2$\n$x^{3}+10x^{2}-2$

the product of a binomial and a trinomial is $x^{3}+3x^{2}-x + 2x^{2}+6x - 2$. which expression is equivalent to this product after it has been fully simplified?\n$x^{3}+5x^{2}+5x - 2$\n$x^{3}+2x^{2}+8x - 2$\n$x^{3}+11x^{2}-2$\n$x^{3}+10x^{2}-2$

Answer

Explanation:

Step1: Combine like - terms of $x^2$

$3x^{2}+2x^{2}=(3 + 2)x^{2}=5x^{2}$

Step2: Combine like - terms of $x$

$-x+6x=(-1 + 6)x=5x$

Step3: Write the simplified expression

The original expression $x^{3}+3x^{2}-x + 2x^{2}+6x-2$ simplifies to $x^{3}+5x^{2}+5x-2$

Answer:

A. $x^{3}+5x^{2}+5x - 2$