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Question

If A = 4x2+y2−12xy+9x,
B = 3y2+9x2+6xy−7x,
C = 6x2+6y2+9xy
Find 2A-3B+4C.

A
5x2+35y26xy+39x
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B
59x2+35y2+30xy3x
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C
5x2+17y26xy3x
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D
5x2+17y26xy+39x
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Solution

The correct option is D 5x2+17y26xy+39x
2A = 2[4x2+y212xy+9x]
= 8x2+2y224xy+18x

3B = 3[3y2+9x2+6xy7x]
= 9y2+27x2+18xy21x

4C = 4[6x2+6y2+9xy]
= 24x2+24y2+36xy

2A+4C=
8x2+2y224xy+18x
24x2+24y2+36xy+0x
_______________________
32x2+26y2+12xy+18x ------(1)

Equation (1) - 3B,

32x2+26y2+12xy+18x
27x2+9y2+18xy21x
(-) (-) (-) (+)
_________________________
5x2+17y26xy+39x

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