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Geometrical Multiplication

2 x p+4 x q-3...

Question

$2 x p + 4 x q - 3 y p - 6 y q = (p + 2 q) \times$

A

(x + y)

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B

(2 x + 3 y)

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C

(2 x - 3 y)

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D

(3 x + 2 y)

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Solution

The correct option is C $(2 x - 3 y)$
$2 x p + 4 x q - 3 y p - 6 y q$
$= 2 x (p + 2 q) - 3 y (p + 2 q)$
$= (p + 2 q) (2 x - 3 y)$

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