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Grade 12Algebra

1÷(a-b)^2 - 1÷(a+b)^2 = 1÷(a^2 - b^2)^2.Prove it.Please help me out

Profile image of RaiyanHasan
8 Years agoGrade 12
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1 Answer

Profile image of Arun
8 Years ago
Dear student
 
On simplifying
 
(a+ b)² - (a-b)² /(a+b)² (a-b)² 
= a² + b² + 2ab -a² -b² + 2ab /(a²-b²)²
 
 = 4ab /( a² - b²)²