Question

which expression can be used to find the difference of the polynomials?

\\((10m - 6) - (7m - 4)\\)

\\(\bigcirc\\ 10m + (-7m) + (-6) + 4\\)
\\(\bigcirc\\ (10m + 7m) + (-6) + (-4)\\)
\\(\bigcirc\\ (-10m) + (-7m) + (6 + 4)\\)
\\(\bigcirc\\ 10m + (-7m) + 6 + (-4)\\)

Explanation:

⚡ Using what you learned: adding and subtracting polynomials

Step 1: Distribute the negative sign

$$ (10m - 6) - (7m - 4) = 10m - 6 - 7m + 4 $$

Step 2: Group like terms

$$ (10m - 7m) + (-6 + 4) $$

Rewrite subtraction as adding a negative:

$$ [10m + (-7m)] + [(-6) + 4] $$

Answer:

$$ [10m + (-7m)] + [(-6) + 4] $$

(The first option)