Question

(x to the 8th power +6)(x+8)?

Answer 1

\[(x^8 + 6)(x+8)\]\[x^9+8x^8+6x+48\]

Answer 2

im so lost what do i do first?

Answer 3

Do you know how to FOIL?

Answer 4

im not really that good at it , but i do know of it

Answer 5

Ok, well it's First Inner Outer Last

First, multiply the first two terms of each expression: x^8 * x = x^9
Then multiple the inner terms: 6 * x = 6x
Next, multiply the outer terms: x^8 * 8 = 8x^8
Now, the last term: 6 * 8 = 48

Put them all together and you'll get what I posted

Answer 6

err First Outer Inner Last I guess :) The order you do it doesn't matter...you just need to ensure you hit all four multiplications.

Answer 7

so i would get 8x+48 right?

Answer 8

No, when you multiply two terms like (x + 1)(x+4), you will end up with four terms in the result...because you multiplied 4 times (FOIL). From there it may be possible to simplify but in this case it's not. The final answer is x^9 + 8x^8 + 6x + 48

Answer 9

where did you get x to the 9 power

Answer 10

x^8 * x = x^9 (when you multiple exponents with the same base, you simply add the exponents...and x is the same as x^1)

Answer 11

This may help as well: http://www.freemathhelp.com/using-foil.html

Answer 12

thanks

Answer 13

np...just remember that the point of FOIL is just to multiple each term in the first expression by each term in the second expression. FOIL is just a way to remember how to do it without missing anything

Answer 14

i have another problem like that its (4x+2)(4x+2)

Answer 15

If you want, go ahead and post what you think you should do and I'll jump in if you do something wrong. This is pretty easy to learn once you do it a few times

Answer 16

i would get 8x+16+8x+16 as the answer

Answer 17

now i have to collect like terms right it would be 16x+16

Answer 18

you've got mistakes already :) do it step by step...what are the first two terms you need to multiply?

Answer 19

the 4x and the 4x right i would times them though right?

Answer 20

Yes, and what would that = ?

Answer 21

16x

Answer 22

no...you have to multiply the x's too. So it would be 16x^2

Answer 23

Now move on to the next term :)

Answer 24

alright it would be 2*2 right?

Answer 25

yes...next one?

Answer 26

that of course is 4 then you times it by that is where im lost

Answer 27

do i multiply 4x*2 =8
then 4x*2= 8 again then just add them

Answer 28

exactly...since they are both like terms of 8x, the result will be 16x

Answer 29

Now that you've done that, you'll end up with 16x^2 + 16x + 4

Answer 30

which is the answer

Answer 31

Of course the order of the terms in the final answer doesn't matter but it's generally expressed from the highest exponent to the lowest...which is why I ordered it that way.

Answer 32

where did i get 16 to the 2nd power

Answer 33

remember when we did 4x *4x? That = 16x^2

Answer 34

oh alright now i got it

Answer 35

The essence of this is just multiplying every term in each set of parentheses with every term in the other sets.

If you had 3 sets of parentheses (like (x+1)(2x+4)(3x-1), you'd have to do this for each term in each set of parenthesis...which gets pretty ugly.

Answer 36

thank you

Answer 37

Luckily, right now you're only working with 2 factors (sets of parentheses)

Answer 38

no, problem...good luck :)