Question

2. What is the rule for factoring the difference of squares? Write an argument to convince a friend that this rule is correct. Must be a minimum of 200 words and explained thoroughly. If you use references, please cite your references.

Answer 1

Formula for factoring of difference of squares is given below

SO in general if we have terms in whole square form then firslty we will try to find a number whose square is given then we can write in factor form.

For example we have terms

Then we can write 4x^2 is a whole square of 2x and 9y^2 is a whole square of 3y.

So we can write it as:

  

We can prove this formula by equating Left side terms and right side terms.

So we have formula as

So left side terms is

RIght side term is

We can simpliffy it by multiplying brackets together.

So we will have

  

SO Right side term is equal to lefth side terms.

SO we can say this formula correct.