Question

i)
Divide: (4a2 – 36ab +81b2) by (2a – 9b)

Answer 1

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Answer 2

Answer:

Question :-

➪ (4a²- 36ab + 81b²) by (2a - 9b)

Answer :-

➪ $\dfrac{(4a^2 - 36ab + 81b^2)}{(2a - 9b)}$

$\tt{ Let\: us\: first\: factorize\: the\: numerator\: of\: the\: given\: division\: \dfrac{(4a^2 - 36ab + 81b^2)}{(2a - 9b)}}$

➔ 4a² - 36ab + 81b²

➔ 4a² - (18 + 18)ab + 81b²

➔ 4a² - 18ab - 18ab + 81b²

➔ 2a(2a - 9b) - 9b(2a - 9b)

➔ (2a - 9b) (2a - 9b)

$\tt{Since,\: we\: have\: to\: divide\: \dfrac{(4a^2 - 36ab + 81b^2)}{(2a - 9b)}}$

∴ $\tt{We\: will\: divide\:\dfrac{(2a - 9b)(2a - 9b)}{(2a - 9b)}}$

➔ 2a - 9b

$\tt{\therefore\: The\: value\: of\:\dfrac{(4a^2 - 36ab + 81b^2)}{(2a - 9b)} is\: 2a - 9b}$