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What is the LCD for #\frac { 5} { x ^ { 2} + 10x + 16} and \frac { 5x - 3} { x ^ { 2} + 9x + 8}#?

Answer 1

#x+8#

If we factor the denominators of both expressions, we get: #5/(x^2+10x+16)=5/((x+8)(x+2))# and #(5x-3)/(x^2+9x+8)=(5x-3)/((x+8)(x+1))#

Since #x+8# is a factor of both denominators, we can conclude that the least common denominator must be #x+8#

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Answer 2

Kennedy Adams

The least common denominator (LCD) for the fractions ( \frac{5}{x^2 + 10x + 16} ) and ( \frac{5x - 3}{x^2 + 9x + 8} ) is ( (x + 8)(x + 2) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.