Question

The model represents a perfect square monomial.

Answer 1

A Monomial is a polynomial containing single term.For example, x, x², x²y², 4 y², 25 y³.

The meaning of term perfect square for an integral value  is the number whose square root is any integer.For example, √4=2, √16=4 or 5²= 25, 6² = 36,

For any variable ,After solving the root(Square, cube, fourth...) doesn't  possess any root. For example √x²= x, ∛y³= y

Considering at the options

1. (2 x)² = 2 × 2 × x × x = 4 x² →→(True)

2.  (2 x²) = 2 × 2 × x² × x²= $4 x^4$ →→→→(True)

3. $(4 x)^2= 4 \times 4 \times x \times x = 16 x^2$→→→→→(False)

4. $(4 x ^2)^2= 4 \times 4 \times x^2 \times x^2= 16 x^4$→→→→→(False)

Answer 2

It would be the first one.