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Which expression is equivalent to the following complex fraction? startfraction 1 over x endfraction minus startfraction 1 over y endfraction divided by startfraction 1 over x endfraction + startfraction 1 over y endfraction startfraction y + x over y minus x endfraction startfraction (y minus x) (y + x) over x squared y squared endfraction startfraction x squared y squared over (y + x) (y + x) endfraction startfraction y minus x over y + x endfraction.

Sagot :

I believe that x²y²/((y+x)(y+x)) is identical to (1/x-1/y)/(1/x+1/y) based on the expression above.

What is expression?

An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Here,

Expression:

=(1/x-1/y)/(1/x+1/y)

Option:

=((y+x)/(y-x))

=((y-x)(y+x))/x²y²

=x²y²/((y+x)(y+x))

=(y-x)/(y+x)

From the above expression, I think x²y²/((y+x)(y+x)) is equivalent to (1/x-1/y)/(1/x+1/y).

To know more about expression,

https://brainly.com/question/1859113

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