SOLUTION: i,m not quite understand the square of binomial. Can somebody please help me with thiese lesson....thanks example problem: (4m-9)squared or (4m-9)exponent of 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: i,m not quite understand the square of binomial. Can somebody please help me with thiese lesson....thanks example problem: (4m-9)squared or (4m-9)exponent of 2      Log On


   



Question 50363: i,m not quite understand the square of binomial. Can somebody please help me with thiese lesson....thanks
example problem:
(4m-9)squared or (4m-9)exponent of 2

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
"Square" means to multiply the same term twice.
Example: square 3 = 3 x 3 = %283%5E2%29 = 9
.
"Binomial" means two terms or two monomials.
Example: 3x is a monomial because it has only one term, 3x.
Example: 3x+2 is a binomial because there are now two terms, 3x and 2.
.
To "square" a binomial means to multiply the binomial twice.
Example: square (3x+2) = (3x+2)(3x+2) = %28%283x%2B2%29%5E2%29
.
To multiply the square of a binomial, use the FOIL method:
F = first terms are multiplied together
O = outer terms are multiplied together
I = inner terms are multiplied together
L = last terms are multiplied together
.
Example:
(4m-9) [The binomial has two terms, 4m and (-9)]
%284m-9%29%5E2%29 [Squaring the binomial or taking it twice]
(4m-9)(4m-9) [The expanded form of the squared binomial]
(4m)(4m)+(4m)(-9)+(-9)(4m)+(-9)(-9) [Using the FOIL method to multiply]
%2816m%5E2+%2B+%28-36m%29+%2B+%28-36m%29+%2B+%2881%29%29 [Combine like-terms]
%2816m%5E2+-+72m+%2B+81%29 [Final answer]