Question

Using a) a difference of squares and b) a perfect square trinomial;  Explain in details the pattern that allows one to recognize the binomial or trinomial as having special factors. Illustrate with examples of a binomial or trinomial expression that may be factored using the special techniques you are explaining.

Answer 1

*Binomial:An expression are algebric expressions containing only 2 terms.

eg: x+3 ,x²+4 etc;

*Difference of squares is a method that is used to factorize binomials

It says A²-B² = (A-B)(A+B)

eg: x²-4 = (x-2)(x+2)

*Trinomials: Are expressions that contain 3 terms.

*Perfect square trinomials are trinomials that r formed by multiplying binomial to itself.

*x²-10x+25 is perfect square trinomial as , its equal to (x-5)(x-5)

*you can say like (a+b)² is a perfect square trinomial for a given (a+b) binomial