Pearson Algebra 1 Common Core, 2011
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Exercise 15 Page 719

Can you factor the denominators? Are there common factors between them?

9a^2b^4

Practice makes perfect

We want to find the least common denominator (LCD) of the given pair of rational expressions. 4/a^2b^3 and 3/9ab^4Note that both denominators can be expressed as the product of prime factors. To form the LCD, we have to list each factor the greatest number of times it appears in a denominator. a^2b^3 &= a * a * b * b * b 9ab^4 &=9 * a * b * b * b * b LCD &= 9 * a * a * b * b * b * b The product of these factors is the LCD. Let's simplify the product!

LCD=9* a* a* b* b* b* b
LCD=9* a* a* b^4
LCD=9* a^2 * b^4
LCD=9a^2b^4