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Question

Find the following product: (3x+2y4)×(xy+2)

A
3x2xy+2x2y2+8y8
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B
3x2xy2x2y2+8y8
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C
3x2xy+2x2y28y8
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D
3x2xy+2x2y2+8y+8
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Solution

The correct option is B 3x2xy+2x2y2+8y8
(3x+2y4)×(xy+2)
=(3x+2y4)×(x)(3x+2y4)×(y)+(3x+2y4)×(2)
=3x2+2xy4x3xy2y2+4y+6x+4y8
=3x2xy+2x2y2+8y8

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