Question

What is the completely factored form of 12xy – 9x – 8y + 6? (3x – 2)(4y – 3) 3x(4y – 3) – 2(4y + 3) –6x(4y – 3)(4y – 3) (3x – 2)(4y – 3)(4y – 3)

Answer 1

A

Explanation:

Edge 2021 :)

Answer 2

Answer: First option is correct.

Explanation:

Since we have given that

`12xy-9x-8y+6`

We just need to find the factors of the polynomial with two variables.

1) Taking the common factor from first two terms i.e. 3x

So, it becomes,

`3x(4y-3)`

2) Now, taking the common factor from last two terms i.e. -2

So, it becomes,

`-2(4y-3)`

So, Combined form will be given as

`12xy-9x-8y+6\\\\=3x(4y-3)-2(4y-3)\\\\=(3x-2)(4y-3)`

Hence, First option is correct.