How do you find the product of #(9x + 6) (4x + 3) #?

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Answer 1 · 2017-01-16T21:31:57

See entire process described 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)(9x) + color(red)(6))(color(blue)(4x) + color(blue)(3))# becomes:

#(color(red)(9x) xx color(blue)(4x)) + (color(red)(9x) xx color(blue)(3)) + (color(red)(6) xx color(blue)(4x)) + (color(red)(6) xx color(blue)(3))#

#36x^2 + 27x + 24x + 18#

We can now combine like terms:

#36x^2 + (27 + 24)x + 18#

#36x^2 + 51x + 18#