Question

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

Answer 1

Well, they've given you A,B, and C,

AB+C will be

`=(x+1)(x^2+2x-1)+2x`

`=(x^3+3 x^2+x-1)+2x`

`=x^3+3 x^2+3 x-1`

Answer 2

Answer: The simplest form is,
`x^3+3x^2+3x-1`

Explanation:

Given :

`A=x + 1`

`B=x^2+2x-1`

`C=2x`

The given expression is,
`AB+C`

Now put the values of A, B and C in the given expression, we get the simplest form.

`AB+C`

`=(x + 1)* (x^2+2x-1)+2x`

`=x^3+2x^2-x+x^2+2x-1+2x`

`=x^3+3x^2+3x-1`

Hence, the simplest form of the given expression is,
`x^3+3x^2+3x-1`