(a-b) is a binomial and the square of a binomial means (a-b)^{2}.
To find the square of a binomial
That is (a-b)(a-b) = a.a - a.b - b.a + b.b
= a^{2} - ab - ba + b^{2}
= a^{2} - ab - ab + b^{2} ....(Commutative Property)
= a^{2} - 2ab + b^{2}
\(a-b)^{2} = a^{2}-2ab+b^{2}
In verbal
[First term-Second term]^{2}=[First term]^{2}-2.[First term].[Second term]+[Second term]^{2}
Directions: Solve the following problems using above formula. Also write at least ten examples of your own.