Question
Factor the expression completely.
48, x, cubed, plus, 8, x, to the power 4
48x
3
+8x
4
48, x, cubed, plus, 8, x, to the power 4
48x
3
+8x
4
Answers
GPT-4o mini
To factor the expression \( 48x^3 + 8x^4 \) completely, we can start by identifying the greatest common factor (GCF) in both terms.
The GCF of \( 48x^3 \) and \( 8x^4 \) is \( 8x^3 \).
Now, we can factor out \( 8x^3 \):
\[
48x^3 + 8x^4 = 8x^3(6 + x)
\]
Thus, the completely factored form of the expression is:
\[
\boxed{8x^3(6 + x)}
\]
The GCF of \( 48x^3 \) and \( 8x^4 \) is \( 8x^3 \).
Now, we can factor out \( 8x^3 \):
\[
48x^3 + 8x^4 = 8x^3(6 + x)
\]
Thus, the completely factored form of the expression is:
\[
\boxed{8x^3(6 + x)}
\]