Chapter 7: Q148E. (page 669)

Explain how you find the least common denominator of $x^{2} + 5 x + 4$ and $x^{2} - 16$ .

Short Answer

Expert verified

$(x + 4) (x - 4) (x + 1)$

Step by step solution

Step 1. Given information.

The following denominators are given:

$x^{2} + 5 x + 4 x^{2} - 16$

Step 2. Finding the least common denominator.

Factor the two denominators:

$x^{2} + 5 x + 4 = (x + 4) (x + 1) x^{2} - 16 = (x + 4) (x - 4)$

Find the LCM of the two denominators:

$(x + 4) (x - 4) (x + 1)$

The least common denominator is equal to the LCM of the two denominators.

So, the least common denominator of the two denominators will be $(x + 4) (x - 4) (x + 1)$

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Explain how you find the least common denominator of $x^{2} + 5 x + 4$ and $x^{2} - 16$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding the least common denominator.

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Explain how you find the least common denominator ofx2+5x+4andx2-16.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding the least common denominator.

One App. One Place for Learning.

Most popular questions from this chapter

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Explain how you find the least common denominator of $x^{2} + 5 x + 4$ and $x^{2} - 16$ .