What is the product of 6x – y and 2x – y + 2?


A=8x2 – 4xy + 12x + y2 – 2y

B=12x2 – 8xy + 12x + y2 – 2y

C=8x2 + 4xy + 4x + y2 – 2y

D=12x2 + 8xy + 4x + y2 + 2y

Verified Answer :

Your answer should be B. #TeamAlvaxic

Answer:

Option (B) is correct.

The product of 6x – y and 2x – y + 2 is \(12x^2-8xy+12x+y^2-2y\)

Step-by-step explanation:

Consider the given expressions 6x – y  and 2x – y + 2

We have to find the product of the above two given expressions,

\((6x-y)(2x-y+2)\)

multiply first term of first expression by each term of second expression and similarly  second term of first expression by each term of second expression

\(\Rightarrow 6x(2x-y+2)-y(2x-y+2)\)

On solving, we get,

\(\Rightarrow 12x^2-6xy+12x-2xy+y^2-2y\)

Solving further by combining like term, we get,

\(\Rightarrow 12x^2-8xy+12x+y^2-2y\)

Thus, The product of 6x – y and 2x – y + 2 is \(12x^2-8xy+12x+y^2-2y\)

Hence, option (B) is correct.