Mathematics: X^2+2x+1 is a perfect square trinomial true of false?

1.6667 is the correct answer....

X^2+2x+1 is a perfect square trinomial true of false?

Afranker8778

12.03.2022

True.

Step-by-step explanation:

It is because it is in the form a^2x^2+2abx+b^2 and this equals (ax+b)^2 .

Why it is in that form: well comparing a^2x^2+2abx+b^2 , we have a=1, b=1 . Testing, plug in those values:

(1)^2x^2+2(1)(1)x+(1)^2

1x^2+2x+1

x^2+2x+1 .

This has the squared form of (x+1)^2 .

Test if you like:

(x+1)^2

(x+1)(x+1)

Use foil to expand:

First: x(x)=x^2

Outer: x(1)=x

Inner: 1(x)=x

Last: 1(1)=1

---------------Add together

x^2+2x+1

It does indeed equal.

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