Question

Is x2 +4x+4 a perfect square? ​

Answer 1

Answer:

Yes, (x+2)^2

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given that:-

x²+4x+4

=>(x²)+2(x)(2)+(2)²

This is in the form of a²+2ab+b²

Here, a=x and b=2

a²+2ab+b²=(a+b)²

=>(x²)+2(x)(2)+(2)²=(x+2)²

x²+4x+4=(x+2)²

x²+4x+4=(x+2)²=(x+2)(x+2)

It is the product of same expressions

So, it is a perfect square.

Perfect square:-

The number can be expressed as the product of two same numbers is called a perfect square number.

ex:-2×2=2²=4 is a perfect square number.