Question

(14m2 + 5m - 1) by (7m - 1)​

Answer 1

Answer:

(14m²+5m-1)/(7m-1) = 2m+1

Step-by-step explanation:

Given that,

(14m²+5m-1)/(7m-1) ↔(1)

Consider, the numerator

⇒14m²+5m-1         (∵ the factors of 14×-1 = -14 whose sum will be 5 is 7 & -2 )

by factorisation method, we get

⇒14m² + 7m - 2m -1        

⇒ 7m(2m+1) - (2m+1)

⇒ (7m-1)(2m+1)

substitute in eq.(1), we get

⇒ (7m-1)(2m+1)/(7m-1)

here, '7m-1' gets cancelled in both numerator & denominator

⇒ (2m+1)

∴ (14m²+5m-1)/(7m-1) = 2m+1

HOPE THIS WOULD BE HELPFUL FOR YOU