Respuesta :

The result of subtracting the polynomials (6x2 – X + 8) – (x2 + 2) is 5x^2 – x + 6

How to subtract the polynomials?

The subtraction of the polynomials is given as:

(6x2 – X + 8) – (x2 + 2) =

Rewrite the above expression properly as:

(6x^2 – x + 8) – (x^2 + 2) =

The next step is to open the brackets.

Start by opening the first bracket (here the signs remain the same)

6x^2 – x + 8 – (x^2 + 2) =

Next, we open the second bracket (here the sign changes, because of the minus outside the bracket)

So, we have;

6x^2 – x + 8 – x^2 - 2 =

Next, we collect the like terms

6x^2 – x^2 – x + 8  - 2 =

Subtract x^2 from 6x^2

5x^2 – x + 8  - 2 =

Subtract 2 from 8

5x^2 – x + 6

Hence, the result of subtracting the polynomials (6x2 – X + 8) – (x2 + 2) is 5x^2 – x + 6

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