How do you find the product #(8-m)^2#?

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Answer 1 · 2017-01-28T18:08:14

See the entire solution process below:

First, we can rewrite this expression as:

#(8 - m)(8 - m)#

Then, to multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(8) - color(red)(m))(color(blue)(8) - color(blue)(m))# becomes:

#(color(red)(8) xx color(blue)(8)) - (color(red)(8) xx color(blue)(m)) - (color(red)(m) xx color(blue)(8)) + (color(red)(m) xx color(blue)(m))#

#64 - 8m - 8m + m^2#

We can now combine like terms:

#64 + (-8 - 8)m + m^2#

#64 - 16m + m^2#

#m^2 - 16m + 64#