Question

Quick I will mark the brainliest.​

Answer 1

pls mark brainliest

6m^2-5mn-21n^2-2m-3n

= 6m^2-14mn+9mn-21n^2-(2m-3n)

= {2m(3m-7n)+3n(3m-7n)}-(2m-3n)

= (3m-7n) (2m+3n)-(2m+3n)

= (2m+3n) (3m-7n-1)

Answer: (2m+3n) (3m-7n-1)

Answer 2

Answer:

$\frac{m}{n}$ = $\frac{7}{3}$

Step-by-step explanation:

6m² -5mn - 21n² -2m -3n

∴ 6m² - 14mn +9mn -21n² - (2m+3n)

∴ (2x3)m² - (2x7)mn + (3x3)mn -(3x7)n² -(2m+3n)

∴ 2m (3m-7n) + 3n (3m-7n) -(2m+3n)

∴ (3m-7n) (2m+3n) - (2m+3n) = 0

∴ (3m-7n) (2m+3n) = (2m+3n)

∴ (3m-7n) = 0

∴ 3m = 7n

⇒ $\frac{m}{n}$ = $\frac{7}{3}$

Hope this helps you!

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