Question

Factorise x2+2x+1-9y2​

Answer 1

Answer:

= (x + 3y + 1) (x – 3y + 1)

Step-by-step explanation:

= x2 + 2x + 1 - 9y2

= (x + 1)2 – (3y)2

= (x + 3y + 1) (x – 3y + 1)

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Answer 2

The answer to the factorisation is, (x+3y+1) (x-3y+1)

Given : The algebraic expression is, x²+2x+1-9y²

To find : The factorisation of the given algebraic expression.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to factorise the given algebraic expression)

Here, we will be using general algebraic method.

So,

= x²+2x+1-9y²

= (x²+2x+1) - (9y)²

= {(x)²+(2×x×1)+(1)²} - (3y)²

= (x+1)² - (3y)²

= (x+1+3y) (x+1-3y)

= (x+3y+1) (x-3y+1)

(This will be considered as the final result.)

Used formula :

• x²+2xy+y² = (x+y)²
• x²-y² = (x+y) (x-y)

Hence, the answer to the factorisation is, (x+3y+1) (x-3y+1)