Question

What is (2x-3y) (4x-y)

Answer 1

8x²-2xy-12xy+3y²

8x²+3y²-14xy

Answer 2

`(2x-3y) (4x-y) = 8 {x}^(2) -14xy + 3 {y}^(2)`

Step-by-step explanation

We want to expand (2x-3y) (4x-y)

We use the distributive property to obtain,

`(2x-3y) (4x-y) = 2x(4x-y) -3y(4x-y)`

We expand to get,

`(2x-3y) (4x-y) = 8 {x}^(2) -2xy -12xy + 3 {y}^(2)`

Combine the middle terms to obtain,

`(2x-3y) (4x-y) = 8 {x}^(2) -14xy + 3 {y}^(2)`