Question

polynomials operations - review for test#2 (adding, subtwhich expression is equivalent to\\((6fg + 3jk - 10mx) - (4fg - 3jk + 2mx)\\)\\(\circ 2fg - 6jk - 12mx\\)\\(\circ 2fg - 6jk + 12mx\\)\\(\circ -2fg + 6jk - 12mx\\)\\(\circ 2fg + 6jk - 12mx\\)

Explanation:

Step1: Distribute the negative sign

To simplify the expression \((6fg + 3jk - 10mx) - (4fg - 3jk + 2mx)\), we first distribute the negative sign to each term inside the second parentheses. This gives us:
\(6fg + 3jk - 10mx - 4fg + 3jk - 2mx\)

Step2: Combine like terms for \(fg\) terms

Now, we combine the like terms. For the \(fg\) terms: \(6fg - 4fg = 2fg\)

Step3: Combine like terms for \(jk\) terms

For the \(jk\) terms: \(3jk + 3jk = 6jk\)

Step4: Combine like terms for \(mx\) terms

For the \(mx\) terms: \(-10mx - 2mx = -12mx\)

Step5: Combine all simplified terms

Putting it all together, we get: \(2fg + 6jk - 12mx\)

Answer:

\(2fg + 6jk - 12mx\) (corresponding to the last option: \(2fg + 6jk - 12mx\))