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Question

2xy + 4x2 + 5xy + 5y2 + 16x2 is equal to:


A

4xy + 9x2 +16y2

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B

3xy + 10x2 + 5y2

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C

16x2 + 5y2 + 7xy

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D

20x2 + 5y2 + 7xy

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Solution

The correct option is D

20x2 + 5y2 + 7xy


Add the like terms.

2xy, 5xy are like terms.

Similarly, 4x
2 and 16x2 are like terms.

2xy + 5xy = 7xy and 4x2 + 16x2 = 20x2

2xy + 4x2 + 5xy + 5y2 + 16x2 = 20x2 + 5y2 + 7xy

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