Question

Factor the perfect-square trinomial in y = (x2 + 2x + 1) − 1− 1.

Answer 1

Answer: 1

Explanation:

Answer 2

(x+1)²

Explanation:

Here, the given expression is,

`y=(x^2+2x+1)-1 -1`

`\implies y=(x^2+2x+1)-2`

Since, a perfect-square trinomial is a trinomial that can be expressed as the square of a binomial,

Now, we can write,

`x^2+2x+1=x^2+x+x+1=x(x+1)+1(x+1)=(x+1)(x+1)=(x+1)^2`

Where, x+1 is a binomial,

Now, in the given expression,

The trinomial
`x^2+2x+1` can expressed as the square of a binomial,

Thus, in the given expression,

`x^2+2x+1` is the perfect-square trinomial

And, its factor form is (x+1)².