Question

Written as a simplified polynomial in standard form, what is the result when

(x – 3)2 is subtracted from 4x – 6?

Answer 1

2x

Explanation:

Hello :)

We are given two polynomials and are asked to subtract and simplify them. We can start this by distributing the 2 to x-3, then using that answer to subtract that from 4x-6.

2(x-3) The distribution property is key here. Imagine you have to distribute the number two to both x and 3, because they're greedy and don't want to share. Distributing means you multiply 2 by both x and 3.

2x-6

Now that we know the polynomial for the first, we can perform subtraction.

(4x-6)-(2x-6) We actually have to distribute the negative on the second polynomial to get rid of the parenthesis.

4x-6-2x+6 (note the sign turned positive since negative sign times a negative sign is a positive sign)

Let's simplify now. Combine like terms.

2x should be your final answer.