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Ex 14.2, 3 (ix) - Factorise 6xy - 4y + 6 - 9x - Chapter 14 NCERT

 

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Transcript

Ex 14.2, 3 Factorise the expressions. (ix) 6xy – 4y + 6 – 9x 6xy – 4y + 6 – 9x = (6𝑥y – 4y) + (6 – 9x) Both have 2 and y as common factors Both have 3 as common factor = 2y (3x – 2) + 3 (2 – 3x) = 2y (3𝑥 – 2) + 3 × −1 (3𝑥 – 2) = 2y (3𝑥 – 2) – 3 (3𝑥 – 2) Taking (3𝑥 − 2) as common, = (3𝑥 − 2) (2y − 3) (As (2 − 3𝑥) = −1 × (3𝑥 − 2))

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