Find the least common multiple of the following polynomials 5y² - 80 and y + 4?

Solution:

The given polynomials are: 5y² - 80 and y + 4

Let us factor the first polynomial by taking 5 as common

We need to rewrite as the difference of two squares:

5(y² - 16) = 5(y² - 4²)

We can now factor to get: 5(y + 4)(y - 4)

Now considering the two given polynomials, we find that

5y² - 80= 5(y + 4)(y - 4)

y + 4 is common between the two polynomials

So the least common multiple of 5y² - 80 and y + 4 is 5(y + 4)(y-4)

Find the least common multiple of the following polynomials 5y² - 80 and y + 4?

Summary:

The least common multiple of the following polynomials 5y² - 80 and y + 4 is 5(y + 4)(y-4)