Answer:
Option (B) is correct.
The product of 6x – y and 2x – y + 2 is [tex]12x^2-8xy+12x+y^2-2y[/tex]
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,
[tex](6x-y)(2x-y+2)[/tex]
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
[tex]\Rightarrow 6x(2x-y+2)-y(2x-y+2)[/tex]
On solving, we get,
[tex]\Rightarrow 12x^2-6xy+12x-2xy+y^2-2y[/tex]
Solving further by combining like term, we get,
[tex]\Rightarrow 12x^2-8xy+12x+y^2-2y[/tex]
Thus, The product of 6x – y and 2x – y + 2 is [tex]12x^2-8xy+12x+y^2-2y[/tex]
Hence, option (B) is correct.
