How do you find the product #(8h-1)(2h-3)#?

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Answer 1 · 2017-05-08T22:54:04

See a 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)(8h) - color(red)(1))(color(blue)(2h) - color(blue)(3))# becomes:

#(color(red)(8h) xx color(blue)(2h)) - (color(red)(8h) xx color(blue)(3)) - (color(red)(1) xx color(blue)(2h)) + (color(red)(1) xx color(blue)(3))#

#16h^2 - 24h - 2h + 3#

We can now combine like terms:

#16h^2 + (-24 - 2)h + 3#

#16h^2 + (-26)h + 3#

#16h^2 - 26h + 3#