Question

factorize: x²-y² +2x+1​

Answer 1

Answer:

Answer:(x+1+y)(x+1-y)

Steps:

x²+2x+1-y²

x²+2x+1-y²=(x)²+2.x.1+(1)²-y²

x²+2x+1-y²=(x)²+2.x.1+(1)²-y²=(x+y)²-(y)²

x²+2x+1-y²=(x)²+2.x.1+(1)²-y²=(x+y)²-(y)²=(x+1+y)(x+1-y)

Answer 2

Answer:

(x+y+1) (x-y+1)

Step-by-step explanation:

1. x²-y²+2x+1
2. =(x²+2x+1)-y² using (a+b) ²=a²+2ab+b²
3. =(x+1)²-y²
4. =(x+1+y) (x+1-y) using a²-b²=(a-b) (a+b)
5. =(x+y+1)(x-y+1) prove