Which of the expressions below can be factored using the difference of squares method? a. 25x2 - 64y2 b. 17x2 + 23y2 c. 17x2 - 23y2 d. 25x2 + 64y2

Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:

can be factored as follows:


From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.
i.e.
which can be factored as follows:
.

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Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,