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

Respuesta :

Answer:

Product of two expression is [tex](6x-y)(2x-y)=12x^2-8xy+y^2[/tex]

Step-by-step explanation:

Given : Expression - [tex]6x- y[/tex] and [tex]2x-y[/tex]

To find : The product of given expression

Solution : To find the product we apply distributive law

[tex]a(b+c)=ab+ac[/tex]

We write in the form of product and multiply term by term

[tex](6x-y)(2x-y)[/tex]

[tex]=(6x)(2x-y)-y(2x-y)[/tex]

Apply distributive law,

[tex]=(6x)(2x)-(6x)(y)-y(2x)+(y)(y)[/tex]

[tex]=12x^2-6xy-2xy+y^2[/tex]

[tex]=12x^2-8xy+y^2[/tex]

Therefore, Product of two expression is [tex](6x-y)(2x-y)=12x^2-8xy+y^2[/tex]

Answer: B

Step-by-step explanation: