How do you foil #(18x + 20)(–12x – 6)#?

1 Answer

Answer:

#color(blue)((18x+20)(–12x–6) = -(216x^2 + 348x + 120)#

Explanation:

FOIL stands for:

Product of FIRST terms +
Product of OUTSIDE terms +
Product of INSIDE terms+
Product of LAST terms

Applying this concept to the expression #color(blue)((18x+20)(–12x–6)#, we get:

Product of FIRST terms = #18x*(-12x) = -216x^2#
Product of OUTSIDE terms = #18x*(-6) = -108x #
Product of INSIDE terms = #20*(-12x) = -240x#
Product of LAST terms = #20*(-6) = -120#

SUM = #-216x^2 + (-108x) + (-240x) + (-120)#

# = -(216x^2 + 108x + 240x + 120)#

# = color(blue)(-(216x^2 + 348x + 120)#