Question

What is the product of 6x – y and 2x – y + 2? 8x2 – 4xy + 12x + y2 – 2y 12x2 – 8xy + 12x + y2 – 2y 8x2 + 4xy + 4x + y2 – 2y 12x2 + 8xy + 4x + y2 + 2y

Answer 1

The product of the binomials 6x − y and 2x − y + 2 is calculated using the distributive property, resulting in 12x² − 8xy + 12x + y² − 2y.

Step-by-step explanation:

The question asks to find the product of two binomials: 6x − y and 2x − y + 2. To solve this, we will use the distributive property (also called the FOIL method in the case of binomials) to multiply each term in the first binomial by each term in the second binomial.

Here's the step-by-step process:

1. Multiply 6x by 2x to get 12x².
2. Multiply 6x by −y to get −6xy.
3. Multiply 6x by 2 to get 12x.
4. Multiply −y by 2x to get −2xy.
5. Multiply −y by −y to get y².
6. Multiply −y by 2 to get −2y.

Now, we combine like terms:

• The x² terms: 12x²
• The xy terms: −6xy − 2xy = −8xy
• The x terms: 12x
• The y² terms: y²
• The y terms: −2y

Putting it all together, the final product is: 12x² − 8xy + 12x + y² − 2y.

Answer 2

Answer: B

Step-by-step explanation: