How do you foil #(2x – 13)(5x + 12)#?

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Answer 1 · 2018-08-06T19:54:25

#10x^2-41x-156#

Foil stands for first, outside, inside, last.

In this questions, there are two terms, #2x-13# and #5x+12#

First means you multiply the first set of values, #2x# and #5x#
#2x*5x=10x^2#

Outside means you multiply the outer values, #2x# and #12#
#2x*12=24x#

Inside means you multiply the inner values, #-13# and #5x#
#-13*5x=-65x#

Last means you multiply the last values, #-13# and #12#
#-13*12=-156#

Now you can put those into one expression and simplify
#10x^2+24x-65x-156#
#10x^2-41x-156#