If the given expressions were used as the denominators of rational expressions, then what would be the LCD for the following pair of denominators?
4p^3xy , 12px^5y^8
a. 12pxy
b. 12
c. 12p^3x^5y^8
d. none of these
2007-07-14 06:26:06 · 7 answers · asked by Monkey Kick 1 in Science & Mathematics ➔ Mathematics
c. 12p^3x^5y^8
To find the LCD, you must use the smallest factors. SInce we don't know the values of p, x, & y we have to assume that they are NOT factors of each other.
If you factor each term you get:
4p^3xy = 4 * p^3 * x * y
12px^5y^8 = 12 * p * x^5 * y^8
Choose the smallest factor of like terms.
4 goes into 12, so 12
p is a factor of p^3, so p^3
x goes into x^5, so x^5
y is a factor of y^8, so y^8
Put them together & you get 12p^3x^5y^8.
Hope that helps :)
2007-07-14 06:44:44 · answer #1 · answered by SusanB 5 · 1⤊ 0⤋
You are after the smallest number that
(4 p³ x y) and (12 p x^5 y^8) will divide into.
This is 12 p³ x^5 y^8
ANSWER c.
2007-07-15 16:06:35 · answer #2 · answered by Como 7 · 0⤊ 0⤋
It is obviously c 12p^3x^5y^8
2007-07-14 13:48:37 · answer #3 · answered by ironduke8159 7 · 1⤊ 0⤋
it's d because the LCD would be 24pxy
2007-07-14 13:36:32 · answer #4 · answered by Anonymous · 0⤊ 2⤋
c
2007-07-14 13:30:06 · answer #5 · answered by cvet_che 2 · 2⤊ 0⤋
d
2007-07-14 13:33:22 · answer #6 · answered by Gigi 2 · 0⤊ 3⤋
umm D, I think.
2007-07-14 13:28:51 · answer #7 · answered by Hollister Babe 3 · 0⤊ 3⤋