Answer:
[tex](x+5y)(x-3y)=x^2+2xy-15y^2[/tex]
Step-by-step explanation:
We have the expression (x+5y)(x-3y), we have to apply distributive property.
Observation: (a+b)(c+d)=ac+ad+bc+bd
Then,
[tex](x+5y)(x-3y)=x.x+x.(-3y)+5y.x+5y.(-3y)\\\\=x^2-3xy+5xy-15y^2\\\\=x^2+2xy-15y^2[/tex]
[tex](x+5y)(x-3y)=x^2+2xy-15y^2[/tex]
