Question

simplify 1/a-2 + 1/a+2​

Answer 1

Step-by-step explanation:

Answer: 4ab/(a²-b²)²

Solution:

The expression to be simplified is

1/(a-b)² - 1/(a+b)² Taking L.C.M. and multiplying

= [(a+b)² - (a-b)²]/(a-b)²(a+b)² which on expansion becomes

=[a² + b² + 2 a.b - (a² - 2a.b + b²)]/{(a-b)(a+b)}²

Expand the second term within brackets in the numerator and obtain

= (a² + b² + 2 a.b - a² + 2a.b - b²)/(a²-b²)² which on cancellation of equal terms in the numerator simplifies to

= 4ab/(a²-b²)² (Proved)

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Answer 2

Answer:

read the attached

Step-by-step explanation:

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