REDUCING RATIONAL EXPRESSIONS TO LOWEST TERMS
To reduce rational expressions to lowest terms, we will follow the steps given below.
- Factorize the numerator and denominator as much as possible.
- Cancel the common factors in the numerator and denominator.
- Write down the left over terms.
Factorize and simplify:
Problem 1 :
Solution:
Problem 2 :
Solution:
Problem 3 :
Solution:
Problem 4 :
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Problem 5 :
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Problem 6 :
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Simplify:
Problem 7:
Solution:
Problem 8 :
Solution:
Factor the expression using a2 - b2 = (a + b) (a - b)
Problem 9:
Solution:
Divide a fraction by multiplying its reciprocal,
Problem 10:
Solution:
Factor the expression using a2 - b2 = (a + b) (a - b)
Problem 11 :
Solution:
Factor the expression,
Problem 12 :
Solution:
Factor the expression,