Hello!
We have the following expression:
[tex]x^2+5x-3x-15[/tex]By analyzing it, we can find common factors on it:
• The, first two, terms ,have 'x',, so we can ,put it in evidence,.
,• The ,last two, terms ,are multiple of -3,, so we can also ,put it in evidence,.
Let's rewrite it:
[tex]\begin{gathered} x^2+5x-3x-15 \\ x\cdot(x+5)-3\cdot(x+5) \end{gathered}[/tex]Now, note that we have (x +5) twice. So, we can put it in evidence too:
[tex](x+5)\cdot(x+3)[/tex]