Question

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

Answer 1

Answer:

(x+1)²

Step-by-step 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.

Answer 2

Answer:

1

Step-by-step explanation: