Could I get some help Please!!!!!!!!!

(1) Find the LCD
3/3v^2-3v-7/3v-3

(2) Find the LCM
14z^7 and 98z^8

(3) Find LCM
y^3+6y^2+9y,y^2-6y

factor each of your denominators.

the LCD should contain all the factors that are in any denominator..
for (1)
since your first denominator does not factor, your LCD is (3v^2-3v-7)(3v-3)

are you sure you typed it correctly, I would have expected the first part to factor

for (2)
14z^7 = 14z^7
98z^8 = (14z^7)(7z)
so 98z^8 is the LCD

for (3)
y^3+6y^2+9y = y(y+3)^2
y^2-6y = y(y-6)

so LCD = y(y-6)(y+3^2

Of course, I'll be happy to help you!

(1) To find the Least Common Denominator (LCD) of the given fraction, you need to find the lowest common multiple of the denominators.

The denominators are 3v^2 - 3v and 3v - 3. Let's factorize them to find common factors.

Denominator 1: 3v^2 - 3v is common in both terms. Factoring out 3v, we get v(v - 1).
Denominator 2: 3v - 3 can be factored as 3(v - 1).

Now, we can see that both denominators have the common factor (v - 1). To find the LCD, we need to take the highest power of each unique factor.

Hence, the LCD is 3v(v - 1).

(2) To find the Least Common Multiple (LCM) of two numbers, you need to find the smallest number that is divisible by both numbers.

The given numbers are 14z^7 and 98z^8. Let's factorize them to find the common factors.

Number 1: 14z^7 can be factored as 2 * 7 * z^7.
Number 2: 98z^8 can be factored as 2 * 7 * 7 * z^8.

Now, we can see that both numbers have the common factors 2, 7, and z. To find the LCM, we need to take the highest power of each unique factor.

Hence, the LCM is 2 * 7 * 7 * z^8, which simplifies to 98z^8.

(3) To find the Least Common Multiple (LCM) of two or more polynomials, you need to find the polynomial with the lowest degree that is divisible by all given polynomials.

The given polynomials are y^3 + 6y^2 + 9y and y^2 - 6y.

First, let's factorize both polynomials.

Polynomial 1: y^3 + 6y^2 + 9y can be factored as y(y^2 + 6y + 9), which further simplifies to y(y + 3)^2.
Polynomial 2: y^2 - 6y can be factored as y(y - 6).

Now, we can see that both polynomials have the common factor y. To find the LCM, we need to take the highest power of each unique factor.

Hence, the LCM is y(y + 3)^2(y - 6).