Find the least common denominator for these two rational expressions. x²/x²+2x+1 and 5/x²+4x+3

Question

Mathematics

Alyvia

30 September, 14:51

Find the least common denominator for these two rational expressions. x²/x²+2x+1 and 5/x²+4x+3

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Answers (1)

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Talan · Answer 1

Factor each denominator:

x^2 + 2x + 1 = (x+1) ^2

x^2 + 4x + 3 = (x+3) (x+1)

Now take the common and non common factors with the highest exponents and multiply them.

(x+3). (x+1) ^2 is the least common denominator.

If you expand that product you will get x^3 + 5x^2 + 7x + 3