Question

$\text{Factorise:}12xy-8x+9y-6$

• A. $(3y-2)(4x+3)$
• B. $(3y-2)(4x-3)$
• C. $(3y+2)(4x+3)$
• D. $(3y-2)(3x+2)$

Answer 1

The correct option is A $(3y-2)(4x+3)$

$\text{Given expression:}12xy-8x+9y-6$

$\text{Taking 4x common from the}\text{first two terms and 3 common from}\text{the last two terms, we get}$

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