Question

question
factor completely:
$7x^2(x^2 + 4) + 3(x^2 + 4)$

Explanation:

Step1: Identify the common factor

Both terms \(7x^{2}(x^{2}+4)\) and \(3(x^{2}+4)\) have a common factor of \((x^{2}+4)\).

Step2: Factor out the common factor

Using the distributive property \(ab + ac=a(b + c)\), where \(a=(x^{2}+4)\), \(b = 7x^{2}\) and \(c = 3\), we get:
\((x^{2}+4)(7x^{2}+3)\)

Answer:

\((x^{2}+4)(7x^{2}+3)\)