Question

(3 – 6x5 – 8x4 ) − (−6x4 – 3x – 8x5)

Please include all steps. (The X are variables)

Answer 1

Do you have an idea on what to do first?

Answer 2

i think 5 and 4 from the right corners are exponents - yes ?

Answer 3

you need to know than there is minus in front of paranthese ,like in case of second parantheses - so what will result inside parantheses (multiplie by -1 every terms inside parantheses )
hope helped

Answer 4

\[(3 – 6x^5 – 8x^4 ) − (−6x^4 – 3x – 8x^5)\]Since: \[− (−6x^4 – 3x – 8x^5) = + -1(−6x^4 – 3x – 8x^5) \]
We multiply each term in the second polynomial by -1. You get:
\[(3 - 6x^5 - 8x^4) + (6x^4 + 3x + 8x^5)\]
Next let's rearrange the terms in order from greatest to least greatest. Terms with x^5 are larger than x^4. A simple x term is less than x^4. A constant like 1 or 5 is less than a term with an x.
\[(-6x^5 - 8x^4 + 3) + (8x^5 + 6x^4 + 3x)\]
Now line up your exponents. x^5 can only add/subtract by another x^5. Same goes for x^4 as well as constants (3).
\[(-6x^5 + 8x^5) + (-8x^4 + 6x^4) + 3x + 3\]
Simply deal with the coefficients and ignore the exponents.
\[2x^5 -2x^4 + 3x + 3\]