Question

Divide (9 a2 - 30 ab+ 25 b2 ) by (3a – 5 b )

Answer 1

Answer:

Q=3a-5b, R=0

Step-by-step explanation:

by long division method

Answer 2

$\sf \color{red} \: \implies \: \frac{9 {a}^{2} - \: 30ab \: + 25 \: {b}^{2} }{3a \: - \: 5b} \\ \\ \sf \color{red} \: \implies \: \frac{(3a \: - \: 5b)^2}{3a \: - \: 5b} \\ \\ \sf \color{red} \: \implies \: \frac{(3a \: - \: 5b) \: ( \cancel{3a \: - \: 5b)}}{ \cancel{3a \: - 5 \: b} } \\ \\ \sf \color{red} \implies \:3a \: - 5b \\ \\ \sf \color{lime} \frac{9 \: {a}^{2} \: - 30 \: ab \: + \: 25 \: {b}^{2} }{3a \: - \: 5b} \: \: = \: 3a \: - \: 5b$