Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
The expression which is equivalent to the provided complex fraction is equal to the expression,
[tex]{\dfrac{-4x+7}{2(x-2)}}[/tex]
What is the equivalent expression?
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is,
[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}[/tex]
Let the expression which is equivalent to the above expression is f(x). Therefore,
[tex]f(x)=\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}[/tex]
Take the LCM (x-1) in the numerator and denominator as,
[tex]f(x)=\dfrac{\dfrac{3-4(x-1)}{x-1}}{\dfrac{2(x-1)-2}{x-1}}[/tex]
Simplify the expression and cancel out the (x-1) from both the fraction as,
[tex]f(x)={\dfrac{3-4(x-1)}{2(x-1)-2}}\\f(x)={\dfrac{3-4x+4}{2x-2-2}}\\f(x)={\dfrac{-4x+7}{2(x-2)}}[/tex]
Hence, the expression which is equivalent to the provided complex fraction is equal to the expression,
[tex]{\dfrac{-4x+7}{2(x-2)}}[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
