Question

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

Answer 1

Option (B) is correct.

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

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.