How do you foil #(-4x+5)(-2x-3)#?

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Answer 1 · 2018-06-27T12:48:38

#=8x^2+2x-15#

#=(-4x xx-2x)+(-4x xx-3)+(5xx-2x)+(5xx-3)#
#=8x^2+12x-10x-15#
#=8x^2+2x-15#

Answer 2 · 2018-06-27T12:51:42

#8x^2 + 2x - 15#

Here is a helpful image for FOIL:

#(−4x+5)(−2x−3)#

FIRSTS:
#-4x xx -2x# #rarr color(blue)(8x^2#

OUTERS:
#-4x xx -3# #rarr color(purple)(12x#

INNERS:
#5 xx -2x# #rarr color(brown)(-10x)#

LASTS:
#5 xx -3# #rarr color(green)(-15#

Now put them all together and simplify:

#8x^2 + 12x - 10x - 15#

#8x^2 + 2x - 15#