Given the following expression:
[tex](x+4)(x+8)[/tex]we can apply the distributive property on the right factor to get the following:
[tex](x+4)(x+8)=x\cdot(x+8)+4\cdot(x+8)[/tex]doing the same on each term, we get:
[tex]\cdot x(x+8)+4\cdot(x+8)=x^2+8x+4x+32[/tex]adding the similar terms, we get the following:
[tex]x^2+8x+4x+32=x^2+12x+32[/tex]thus, the expanded expression is x^2 + 12x + 32