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Question

If A = (4x + y - 12xy + 9z),
B = (3y + 9x + 6xy - 7z),
C = (6x + 6y + 9xy)
Find 2A - 3B + 4C.

A
(5x + 17y + 6xy + 39z)
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B
(5x + 17y - 6xy + 39z)
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C
(5x + 17y - 6xy - 39z)
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D
(5x + 17y + 30xy + 39z)
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Solution

The correct option is B (5x + 17y - 6xy + 39z)
2A = 2(4x + y - 12xy + 9z)
= (8x + 2y - 24xy + 18z)

3B = 3(3y + 9x + 6xy - 7z)
= (9y + 27x + 18xy - 21z)

4C = 4(6x + 6y + 9xy)
= (24x + 24y + 36xy)

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

Equation (1) - 3B,

32x + 26y + 12xy + 18z
27x + 9y + 18xy - 21z
(-) (-) (-) (+)
_________________________
(5x + 17y - 6xy + 39z)

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