1 Answer

Tomasz Stanczak · Answer 1 · 2022-12-14T09:58:51+0000

Answer:

5x^2 + 3x - 2

This answer is correct because I simplified using like terms.

Explanation:

Subtracting Polynomials

They key to subtract, multiply, add, and divide polynomials is by using like terms. Like terms are values with the same bases. For example :

ax^2 and
2ax^2 are like terms because they have the base

Step 1: Move like terms together

First, let's remove all parenthesis:

$(3x^2 + 9x-6)-(2x^2-4x^2+6x-4)\\\\= 3x^2+9x-6-2x^2+4x^2-6x+4$

Now let's move all like terms together:

$3x^2+9x-6-2x^2+4x^2-6x+4= \\3x^2-2x^2+4x^2+9x-6x-6+4$

Step 2: Simplify

Now we can add and subtract the like terms like we do in any other problem

$3x^2-2x^2+4x^2+9x-6x-6+4 = \\5x^2+3x-2$

Step 3: Explaining your answer

Just say: "This answer is correct because I simplified using like terms"

-Chetan K

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