Question

factories 2(3x-4y)^2-3(3x-4y)-2

Answer 1

let (3x-4y)=A,

then the equation becomes,

2A²-3A-2,

2A²-(4-1)A-2,

2A²-4A+A-2,

2A(A-2)+1(A-2),

(A-2)(2A+1),

(3x-4y-2)[2(3x-4y)+1],


(3x-4y-2)(6x-8y+1)

Answer 2

Here is your answer

2(3x-4y)^2-3(3x-4y)-2

put 3x-4y=A

2A^2-3A-2

By middle term splitting method

2A^2-4A+A-2

2A(A-2)+1(A-2)

(2A+1)(A-2)

PUTTING THE VALUE OF A

[2(3x-4y)+1][3x-4y-2]

(6x-8y+1)(3x-4y-2)

Hope it helps!

Thanks