Factories: 12(2x – 3y)2 – 16(3y – 2x)

1.	Factories: 12(2x – 3y)2 – 16(3y – 2x)
Answer» 12(2x – 3y)² – 16(3y – 2x) = 12(2x – 3y)² + 16(2x -3y) [Taking (2x - 3y) common from the expression] = (2x – 3y) {12(2x – 3y) + 16} = (2x – 3y)(24x – 36y + 16) [Taking 4 common from the expression] = 4(2x - 3y)(6x – 9y + 4) So, We get, 12(2x – 3y)² – 16(3y – 2x) = 4(2x - 3y)(6x – 9y + 4)

Answer»

12(2x – 3y)² – 16(3y – 2x)

= 12(2x – 3y)² + 16(2x -3y)

[Taking (2x - 3y) common from the expression]

= (2x – 3y) {12(2x – 3y) + 16}

= (2x – 3y)(24x – 36y + 16)

[Taking 4 common from the expression]

= 4(2x - 3y)(6x – 9y + 4)

So,

We get,

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

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