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Multiplying Binomials

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highlight term
F
O
I
L
a
b
c
d
(a x + b) (c x + d) =
(2 x + 3) (4 x + 5) =
(2 x​) (4 x​) + (2 x​) (5) + (3) (4 x​) + (3) (5) =
8
2
x
+ 10 x + 12 x + 15 =
8
2
x
+ 22 x + 15
You can use the FOIL method to multiply out binomials of the form
(ax+b)(cx+d)
. FOIL stands for First-Outer-Inner-Last. First means multiply the first terms
ax
and
cx
; Outer means multiply
ax
and
d
; Inner gives the term
bcx
; and finally Last gives the term
bd
.
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