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Question

If sum and difference of two expressions is 5x2−x−4 and x2+9x−10 respectively, then the expressions are

A
(4x2+8x6),(4x210x+2)
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B
(2x2+4x3),(3x210x6)
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C
(3x2+4x7),(2x25x+3)
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D
(3x2+4x+7),(2x25x3)
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Solution

The correct option is C (3x2+4x7),(2x25x+3)
Let the two expressions are X and Y then by hypothesis
X+Y=5x2x4 ...(i)
and XY=x2+9x10 ...(ii)

Adding and subtracting both equations we get
2X=6x2+8x14
or X=3x2+4x7
and 2Y=4x210x+6
or Y=2x25x+3

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