Question

Multiply the following polynomials. Write the simplified answer in descending order. Use the ∧( shift +6 ) to indicate exponents.

a. (2x−3y)(4x−y)

Answer 1

To multiply the polynomials (2x-3y)(4x-y), we use the distributive property and combine like terms. The simplified answer in descending order is 8x^2 - 14xy + 3y^2.

Step-by-step explanation:

To multiply the polynomials (2x-3y)(4x-y), we can use the distributive property. We will multiply each term in the first polynomial by each term in the second polynomial and then combine like terms. Here are the steps:

(2x-3y)(4x-y)

1. Multiply 2x by 4x: 2x * 4x = 8x^2
2. Multiply 2x by -y: 2x * -y = -2xy
3. Multiply -3y by 4x: -3y * 4x = -12xy
4. Multiply -3y by -y: -3y * -y = 3y^2

Now we can combine the like terms:

8x^2 - 2xy - 12xy + 3y^2

Simplifying further:

8x^2 - 14xy + 3y^2

So, the simplified answer in descending order is 8x^2 - 14xy + 3y^2.