Question

expand the expression.

\\(x^2 + 3x + 4)^2\\

Explanation:

Set up the multiplication

Using the Distributive Property with Polynomials knowledge point

$$ (x^2 + 3x + 4)^2 = (x^2 + 3x + 4)(x^2 + 3x + 4) $$

Distribute the terms

Using the Distributive Property with Polynomials knowledge point

$$
LATEXBLOCK0
$$

Expand each distributed part

Using the Distributive Property with Polynomials knowledge point

$$
LATEXBLOCK1
$$

Combine like terms

Using the Polynomial Addition and Polynomial Simplification knowledge points

$$
LATEXBLOCK2
$$

Answer:

\(x^4 + 6x^3 + 17x^2 + 24x + 16\)