Problem of the Week

Updated at Nov 6, 2023 1:33 PM

This week we have another algebra problem:

How can we factor \(36{v}^{2}-66v+30\)?

Let's start!



\[36{v}^{2}-66v+30\]

1
Find the Greatest Common Factor (GCF).
GCF = \(6\)

2
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
\[6(\frac{36{v}^{2}}{6}+\frac{-66v}{6}+\frac{30}{6})\]

3
Simplify each term in parentheses.
\[6(6{v}^{2}-11v+5)\]

4
Split the second term in \(6{v}^{2}-11v+5\) into two terms.
\[6(6{v}^{2}-5v-6v+5)\]

5
Factor out common terms in the first two terms, then in the last two terms.
\[6(v(6v-5)-(6v-5))\]

6
Factor out the common term \(6v-5\).
\[6(6v-5)(v-1)\]

Done
Cymath foriOSAndroid