Answer
In the FOIL method of binomial multiplication, FOIL is an acronym.
F = Multiply FIRST term of each binomial (F = FIRST)
O = Multiply OUTER term of each binomial (O = OUTER)
I = Multiply INNER term of each binomial (I = INNER)
L = Multiply LAST term of each binomial (L = LAST)
Work Step by Step
In FOIL method of binomial multiplication FOIL is an acronym.
F = Multiply FIRST term of each binomial (F = FIRST)
O = Multiply OUTER term of each binomial (O = OUTER)
I = Multiply INNER term of each binomial (I = INNER)
L = Multiply LAST term of each binomial (L = LAST)
Explanation
Let us consider two binomials (a + b) and (c + d)
F = ac
O = ad
I = bc
L = bd
On addition of all terms
(a + b) . (c + d)= ac + ad + bc + bd
Take another Example-(2x+5)(5x+3)
F = 10$x^{2}$
O = 6x
I = 25x
L = 15
(2x+5)(5x+3)
= 10$x^{2}$ + 6x + 25x + 15
= 10$x^{2}$ + 31x + 15
