Question

Express as a trinomial (2x+8)(x-3)

Answer 1

Answer:

$\huge\boxed{(2x+8)(x-3)=2x^2+2x-24}$

Step-by-step explanation:

$\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x+8)(x-3)=(2x)(x)+(2x)(-3)+(8)(x)+(8)(-3)\\\\=2x^2-6x+8x-24\qquad\text{combine like terms}\\\\=2x^2+(-6x+8x)-24\\\\=2x^2+2x-24$

Answer 2

Answer:

2x^2+2x-24

Step-by-step explanation:

when you see two parentheses, you should first think : FOIL!

you take the First terms in each of the parentheses which is 2x and x and multiply them. (2x^2)

then you take the Outer terms in the parenthesis which is 2x and -3 and multiply them. (-6x)

then you take the Inside terms which is +8 and x and multiply them. (+8x)

lastly, you take the Last terms which is +8 and -3 and multiply them. (-24)

you should get this : 2x^2-6x+8x-24. combine like terms and there's your answer!

i also advise you to write down all your terms until you are familiar with this foil stuff. don't be ashamed if you need to write them down! you'll get the hang of it! :)