Respuesta :

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