A Difference Between Two Squares is an expression with two terms (also known as a binomial) in which both terms are perfect squares and one of the two terms is negative. The problems that follow show how to factor a difference between two squares. difference of two squares Difference of Two Squares when a is Negative If both terms a and b are negative such that we have a 2 b 2 the equation is not in the form of a 2 b 2 and cannot be rearranged into this form. If a is negative and we have addition such that we have a 2 b 2 the equation can be rearranged to the form of b 2 a 2 which is the correct equation only the letters a and b are switched; we can just rename our terms.
So a difference of squares is something that looks like x 2 4. That's because 4 2 2, so we really have x 2 2 2, which is a difference of squares. To factor this, I'll start by writing my parentheses, in the same way as usual for factoring: difference of two squares
In mathematics, the difference of two squares is a squared (multiplied by itself) number subtracted from another squared number. Every difference of squares may be factored according to the identity a 2 b 2 ( a b ) ( a b ) \displaystyle a2b2(ab)(ab) If two terms in a binomial are perfect squares separated by subtraction, then you can factor them. To factor the difference of two perfect squares, remember this rule: if subtraction separates two squared terms, then the sum and the difference of the two square roots factor the binomial. difference of two squares