Question

Factorise: 49y2 - 1.​

Answer 1

Answer:

(7y)2-1=6y hence solved

Answer 2

Given,

49y²-1

To find,

Factorize

Solution,

• The given equation 49y²-1 is of the form of a²-b².

• 49y² can also be represented in the form of (7y)²

• 1  can also be represented as (1)².

Mathematically, it can be represented as-

49y²-1 ⇒ (7y)²-(1)²

• Factorization of a²-b² gives ( a + b)( a - b )

Similarly, Factorization of (7y)²-(1)² gives (7y+1)(7y-1).

Hence, the Factorization of 49y²-1 is  (7y+1)(7y-1).