[tex]x^2+8x+15[/tex]
Use the FOIL method of multiplying binomials.
First term in each binomial: [tex]x*x=x^2[/tex]
Outside terms: [tex]x*5=5x[/tex]
Inside terms: [tex]3*x=3x[/tex]
Last term in each binomial: [tex]3*5=15[/tex]
Add them all together. [tex]x^2+5x+3x+15[/tex]
Simplify. [tex]x^2+8x+15[/tex]