The discussion centers on simplifying the expression \((a^2 + 2ab + b^2)/(a^2 - b^2) \times (a^2 - 2ab + b^2)/(a^2 - b^2)\). The correct simplification leads to a final result of 1. While the final answer is confirmed as correct, some participants noted that the steps taken to reach this conclusion were not fully detailed and included unconventional regrouping methods.
PREREQUISITESStudents studying algebra, educators teaching simplification methods, and anyone looking to enhance their skills in manipulating rational expressions.
That's the correct final result. It's hard to say if your steps are correct. You skipped some steps and regrouped things in some rather curious ways.science_rules said:Homework Statement
Simplify: (a2 + 2ab + b2)/(a2 - b2) times (a2 - 2ab + b2)/(a2 - b2)
Homework Equations
(a2 + 2ab + b2)/(a2 - b2) times (a2 - 2ab + b2)/(a2 - b2)
The Attempt at a Solution
Did I simplify this correctly?? (a+b)(a+b)/((a-b)(a+b)) times (a-b)(a-b)/((a-b)(a+b)) = ((a+b)/(a+b)) times ((a-b)/(a-b)) = (a+b)(a-b)/((a+b)(a-b)) = 1 times 1 = 1 Answer