Problem of the Week

Updated at Jul 27, 2026 10:48 AM

This week we have another algebra problem:

How can we factor \(5{y}^{2}-24y-36\)?

Let's start!



\[5{y}^{2}-24y-36\]

1
Split the second term in \(5{y}^{2}-24y-36\) into two terms.
\[5{y}^{2}+6y-30y-36\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[y(5y+6)-6(5y+6)\]

3
Factor out the common term \(5y+6\).
\[(5y+6)(y-6)\]

Done
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