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Simplify 1/3x(15x-12y)-1/2(6x-4y)

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Solution :

GIven equation
(1)/(3) x (15x-12y)-(1)/(2) (6x-4y)

To simplify this equation , we first evaluate the terms in bracket


= (1)/(3) x (15x) -(1)/(3) x(12y) -(1)/(2) (6x)+(1)/(2) (4y) \\ = 5x^2-4xy-3x+2y

Hence,
(1)/(3) x (15x-12y)-(1)/(2) (6x-4y) = 5x^2-4xy-3x+2y

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