How do you find the product #(3c+6d)^2#?

1 Answer
smendyka
Feb 1, 2017

See the entire solution process below:

Explanation:

We can rewrite this expression as:

#(3x + 6d)(3x + 6d)#

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(3c) + color(red)(6d))(color(blue)(3c) + color(blue)(6d))# becomes:

#(color(red)(3c) xx color(blue)(3c)) + (color(red)(3c) xx color(blue)(6d)) + (color(red)(6d) xx color(blue)(3c)) + (color(red)(6d) xx color(blue)(6d))#

#9c^2 + 18cd + 18cd + 36d^2#

We can now combine like terms:
#9c^2 + (18 + 18)cd + 36d^2#

#9c^2 + 36cd + 36d^2#

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