The FOIL method is used to multiply together two polynomials, each consisting of two terms.
In general the polynomials could be of any degree and each could contain a number of variables. However, FOIL is generally used for two monomials in one variable; that is
(ax + b) and (cx + d)
To multiply these two monomials together -
F = Multiply together the FIRST term of each bracket: ax * cx = acx2
O = Multiply the OUTER terms in the way the brackets are written out= ax * d = adx
I = Multiply the INNER terms = b * cx = bcx
L = Multiply the LAST terms of each bracket = b * d = bd
Add together: acx2 + adx + bcx + bd
Lastly, combine the middle two terms which are "like" terms to give
acx2 + (ad + bc)*x + bd
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= (a + b)2 or (a + b)(a + b) (a + b)(a + b) using the FOIL method yields: [multiplying {First Outer Inner Last} and summing the products] = a.a + a.b + b.a + b.b = a2 + ab + ab + b2 = a2 + 2ab + b2
it usually starts with x=.... ex: for foil method , which is (a+b)2 would be x=a2+2ab+b2