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Factor the expression completely.

16x^(2)+4
Answer:

Factor the expression completely. $\newline$ $16 x^{2}+4$ $\newline$ Answer:

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Evaluate rational exponents

Full solution

Q. Factor the expression completely.

\newline

16 x^{2}+4

\newline

Answer:

Identify Sum of Squares: Identify the expression as a sum of squares. $16x^2 + 4$ can be written as $(4x)^2 + 2^2$ .
Real Number Factorization: Recognize that the sum of squares cannot be factored using real numbers. $\newline$ The sum of squares does not factor in the same way as the difference of squares. There is no real number factorization for a sum of squares, but it can be expressed as a sum of two squares.
Write Final Answer: Write the final answer. $\newline$ Since the expression $16x^2 + 4$ is a sum of squares, it cannot be factored over the real numbers. Therefore, the expression is already in its simplest form.

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