Question

Factorise this 49y^2 - 1 and I will rate u the brainiest

Answer 1

Answer:

(7y+1)(7y-1)

Step-by-step explanation:

49$y^2$-1

=(7y)^2-(1)^2

(7y+1)(7y-1)

Answer 2

Given,

An algebraic expression: 49y^2 - 1

To find,

The factorized product of the given algebraic expression.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

If a and b are two variables, then there exists an algebraic identity such that:

a^2 - b^2 = (a+b)(a-b)

{Statement-1}

Now, according to the question;

On factorizing the given algebraic expression, we get;

49y^2 - 1

= (7y)^2 - (1)^2

= (7y+1)(7y-1)

{according to statement-1}

Hence, the factorized product of the given algebraic expression: 49y^2 - 1 is equal to (7y+1)(7y-1).