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Simplifying Rational Expressions

IGCSE,mathematics,revisions,past papers,algebra,fractions,terms,constants,LCD,simplify,distributive property,exponents
This item is taken from IGCSE Mathematics (0580) Paper 43 of October/November 2010.


To deal with this item, let us summarize the details of the problem:
   (a) Syllabus area: Algebra
   (b) Specific topic: Simplifying Rational Expressions


We will try to answer this item in different methods. 
For the first method, we need to find the LCD (least common denominator) of the fractional expressions. Here are the steps needed:
IGCSE,mathematics,revisions,past papers,algebra,fractions,terms,constants,LCD,simplify,distributive property,exponents
IGCSE,mathematics,revisions,past papers,algebra,fractions,terms,constants,LCD,simplify,distributive property,exponents
IGCSE,mathematics,revisions,past papers,algebra,fractions,terms,constants,LCD,simplify,distributive property,exponents
IGCSE,mathematics,revisions,past papers,algebra,fractions,terms,constants,LCD,simplify,distributive property,exponents
Another method is the following:
IGCSE,mathematics,revisions,past papers,algebra,fractions,terms,constants,LCD,simplify,distributive property,exponents
IGCSE,mathematics,revisions,past papers,algebra,fractions,terms,constants,LCD,simplify,distributive property,exponents
IGCSE,mathematics,revisions,past papers,algebra,fractions,terms,constants,LCD,simplify,distributive property,exponents
Therefore,

IGCSE,mathematics,revisions,past papers,algebra,fractions,terms,constants,LCD,simplify,distributive property,exponents
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