Factories: 12(2x – 3y) 2 – 16(3y – 2x)

Question

Factories: 12(2x &#x2013; 3y) 2 &#x2013; 16(3y &#x2013; 2x)

Philoid · Accepted Answer

12(2x – 3y)² – 16(3y – 2x)

= 12(2x – 3y)² + 16(2x -3y)

= (2x – 3y) {12(2x – 3y) + 16}

= (2x – 3y)(24x – 36y + 16)

= 4(2x - 3y)(6x – 9y + 4)

So,

We get,

12(2x – 3y)² – 16(3y – 2x) = 4(2x - 3y)(6x – 9y + 4)