How do you simplify #(w-3)(w-5)#?

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Answer 1 · 2017-04-05T11:46:56

See the entire solution process below:

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

#(color(red)(w) - color(red)(3))(color(blue)(w) - color(blue)(5))# becomes:

#(color(red)(w) xx color(blue)(w)) - (color(red)(w) xx color(blue)(5)) - (color(red)(3) xx color(blue)(w)) + (color(red)(3) xx color(blue)(5))#

#w^2 - 5w - 3w + 15#

We can now combine like terms:

#w^2 + (-5 - 3)w + 15#

#w^2 + (-8)w + 15#

#w^2 - 8w + 15#