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in Factorization by (49.2k points)
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The factors of (12 - 8y) (a - 2b) + (6b - 2a) (3x - 2y) are:

(a) (3x + 2y)(a - 2b)

(b) 2(3x - 2y) (a - b)

(c) (3x - 2y) (a + 2b)

(d) (3x + 2y) (a + 2b)

1 Answer

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by (48.1k points)
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Best answer

Correct option is (b) 2(3x - 2y) (a - b)

(12 - 8y) (a - 2b) + (6b - 2a) (3x - 2y)

⇒ 4(3x - 2y) (a - 2b) + (6b - 2a) (3x - 2y)

⇒ 3x - 2y [4a - 8b + 6b - 2a]

⇒ (3x - 2y) (2a - 2b)

⇒ 2(a - b) (3x - 2y)

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