How do you simplify $(6m+1)(2m-5)$ ?

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Answer 1 · 2017-01-07T19:07:44

To simplify cross multiply each term in the left parenthesis by each term in the right parenthesis. See full process below:

$(color(red)(6m + 1))(color(blue)(2m - 5)) ->$

$(color(red)(6m) xx color(blue)(2m)) - (color(red)(6m) xx color(blue)(5)) + (color(red)(1) xx color(blue)(2m)) - (color(red)(1) xx color(blue)(5))$

$12m^2 - 30m + 2m - 5$

Now we can combine like terms:

$12m^2 + (-30 + 2)m - 5$

$12m^2 - 28m - 5$

How do you simplify (6m+1)(2m-5)(6m+1)(2m-5)?