Simplify Expressions

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(2/a+b)^2

Assume that a+b = 0

The 0 has a line through it .

Oct 3rd, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

[2/(a+b)]^2

This is a laws of exponents problem. Let's use the identity

[a/b]^n=a^n/b^n

a=2

b=(a+b)

n=2

2^2/(a+b)^2

4/(a+b)^2 <===this is the most simplified version

NOTE: If you were doing this for a harder problem, this is how you would expand the denominator.

Since there is addition in the denominator, you must factor the denominator.

(a+b)(a+b)

a^2+ab+ab+b^2

a^2+2ab+b^2

Therefore the denominator is

4/(a^2+2ab+b^2).


Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 16th, 2015

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Oct 3rd, 2015
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