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Question

Subtract the sum of x3+x27xy+2y2+56x and 6x3+9x224xy79x from the sum of 5x3+2xy+4y2 and 7x216xy+6y2+6x.

A
10x33x2+17xy+8y2+29x
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B
3x245xy+12y217x
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C
10x33x2+7xy+8y2+29x
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D
10x33x2+17xy+2y2+56x
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Solution

The correct option is A 10x33x2+17xy+8y2+29x
Sum of first two expressions is
x3+x27xy+2y2+56x
6x3+9x224xy+0y279x
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5x3+10x231xy+2y223x---(1)

Sum of last two expressions,
5x3+0x2+2xy+4y2+0x
0x3+7x216xy+6y2+6x
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5x3+7x214xy+10y2+6x------(2)

Subtract equation (1) from (2),

5x3+7x214xy+10y2+6x
5x3+10x231xy+2y223x
(+) (-) (+) (-) (+)
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10x33x2+17xy+8y2+29x

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