Problem of the Week

Updated at May 19, 2025 9:09 AM

To get more practice in algebra, we brought you this problem of the week:

How can we factor \(10{u}^{2}-40u+30\)?

Check out the solution below!



\[10{u}^{2}-40u+30\]

1
Find the Greatest Common Factor (GCF).
GCF = \(10\)

2
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
\[10(\frac{10{u}^{2}}{10}+\frac{-40u}{10}+\frac{30}{10})\]

3
Simplify each term in parentheses.
\[10({u}^{2}-4u+3)\]

4
Factor \({u}^{2}-4u+3\).
\[10(u-3)(u-1)\]

Done
Cymath foriOSAndroid