Q. 154.2( 43 Votes )

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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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