How do you simplify #3(5c+4d)+6(d-2c)#?

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Answer 1 · 2017-04-29T23:25:58

See the entire solution process below:

First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

#color(red)(3)(5c + 4d) + color(blue)(6)(d - 2c) =>#

#(color(red)(3) * 5c) + (color(red)(3) * 4d) + (color(blue)(6) * d) - (color(blue)(6) * 2c) =>#

#15c + 12d + 6d - 12c#

Next, group like terms:

#15c - 12c + 12d + 6d#

Now, combine like terms:

#(15 - 12)c + (12 + 6)d#

#3c + 18d#