Simplifying Algebraic Fractions

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| By Mrbaig
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Mrbaig
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1. Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question. «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»12«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«mn»3«/mn»«mi»x«/mi»«msup»«mi»y«/mi»«mn»7«/mn»«/msup»«/mrow»«/mfrac»«/math»

Explanation

The given algebraic fraction is already in its simplest form. The numerator is 4x^2 and the denominator is y^5. There are no common factors that can be simplified further. Therefore, the expression 4x^2/y^5 is already in its simplest form.

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About This Quiz
Simplifying Algebraic Fractions - Quiz

This quiz focuses on simplifying algebraic fractions, assessing skills in manipulating expressions with variables and exponents. It encourages the application of BIDMAS\/BODMAS rules for correct bracket usage, enhancing... see morealgebraic understanding relevant for educational progress. see less

2. Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question. «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»5«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«/mrow»«msup»«mi»x«/mi»«mn»7«/mn»«/msup»«/mfrac»«/math»

Explanation

The given algebraic fraction is already in its simplest form. The numerator is 5 and the denominator is x^3, which means that there are no common factors that can be canceled out. Therefore, the fraction 5/x^3 cannot be simplified any further.

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3. Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question, and you must ensure you use brackets correctly - think of BIDMAS. «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»y«/mi»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»6«/mn»«/mrow»«mrow»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»7«/mn»«mi»y«/mi»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»6«/mn»«/mrow»«/mfrac»«/math»

Explanation

The given algebraic fraction is already in its simplest form. It cannot be simplified further.

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4. Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question, and you must ensure you use brackets correctly - think of BIDMAS. «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mrow»«mn»2«/mn»«mo»§nbsp;«/mo»«/mrow»«/msup»«mo»-«/mo»«mo»§nbsp;«/mo»«mn»3«/mn»«mi»x«/mi»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§nbsp;«/mo»«mo»-«/mo»«mo»§nbsp;«/mo»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mo»§nbsp;«/mo»«mn»6«/mn»«/mrow»«/mfrac»«/math»

Explanation

The given algebraic fraction is already in its simplest form. The numerator is x and the denominator is x+2, which cannot be simplified further. Therefore, the answer is x/(x+2).

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5. Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question, and you must ensure you use brackets correctly - think of BIDMAS. «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»7«/mn»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mo»§nbsp;«/mo»«mi»x«/mi»«mi»y«/mi»«/mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«/mfrac»«/math»

Explanation

If you wrote:
7-y/x^2
this is not correct because using BIDMAS we would get a different answer.

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Express the given algebraic fraction in its simplest form, use the ^...
Express the given algebraic fraction in its simplest form, use the ^...
Express the given algebraic fraction in its simplest form, use the ^...
Express the given algebraic fraction in its simplest form, use the ^...
Express the given algebraic fraction in its simplest form, use the ^...
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