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Question

Find the product (x2-3xy+2y2) (2x-3y) and also find its value when x = 4 and y = -3.


A

1080

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B

1190

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C

1360

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D

1372

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Solution

The correct option is C

1190


The given expression is (x2-3xy+2y2) (2x-3y)

x2(2x-3y)-3xy(2x-3y)+2y2(2x-3y)

2x3-3x2y-6x2y+9xy2+4xy2-6y3

2x3-9x2y+13xy2-6y3

Now, on putting the value x = 4 and y = -3

2×(4)3-9×(4)2×(-3)+13×4×(-3)2-6×(-3)3

128+432+468+162 = 1190


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