Question

4. a) Factorise: 9x² - 4y2​

Answer 1

(i) We have, 9x2 + 4y2 + 16z2 – 12xy – 16yz + 24xz = (3x)2 + (- 2y)2 + (4z)2 + 2(3x)(- 2y) + 2(- 2y)(4z) + 2(3x)(4z) [∵ a2 + b2 + c2 + 2ab + 2bc + 2ca = (a + b + c)2] = (3x – 2y + 4z)2 = (3x – 2y + 4z)(3x – 2y + 4z) (ii) We have,Read more on Sarthaks.com - https://www.sarthaks.com/775942/factorise-i-9x-2-4y-2-16z-2-12xy-16yz-24xz

Answer 2

Answer:

9x² - 4y²

= (3x)² - (2y)²

= (3x - 2y)(3x + 2y) Ans

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