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Algebra Simplification

0 votes

Show step by step why/how the left side equals the right side.


asked Nov 2, 2014 in ALGEBRA 1 by anonymous

1 Answer

0 votes

The Expression on the left hand side is

image

Now let us first consider the expression along the Square root.

image

Simplify the Expression.

image

image

Now Multiply and Divide with √2

image

Now substitute the above in the expression and simplify.

image

image

image

image

Therefore the expression image is simplified as

image.

answered Nov 2, 2014 by dozey Mentor
Thank you for an excellent step by step explanation. However, your final result has a 2(x+1) in the denominator but the result I posted has just (x+1). Which answer is correct? Also, in the second last step you wrote 2x^2+3x+2 in the radical, is  this a mistake? I would think that it would be 2x^2+2. You return to 2(x^2+1) in the final answer, so why then even expand in the second last step?

The second last step is a typing mistake. Please do not consider the step.

And the final answer consisting of 2(x+1) in the denominator is the correct solution.

 

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