is it A?
Find the product of (x + 3)(x − 3).
x2 − 6x + 9
x2 + 6x + 9
x2 + 9
x2 − 9
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jimthompson5910 (jim_thompson5910):
use the difference of squares rule
OpenStudy (anonymous):
I have a problem with the adding and subtracting
jimthompson5910 (jim_thompson5910):
the difference of squares rule is
(a+b)(a-b) = a^2 - b^2
jimthompson5910 (jim_thompson5910):
does that help?
OpenStudy (anonymous):
yess thank you! so its A?
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jimthompson5910 (jim_thompson5910):
no it's not A,use the template I gave you
OpenStudy (anonymous):
its B
jimthompson5910 (jim_thompson5910):
similar example
(x-5)(x+5) = x^2 - 5^2
(x-5)(x+5) = x^2 - 25
OpenStudy (texaschic101):
do you know the FOIL method ?
OpenStudy (anonymous):
yeah I did it its B
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jimthompson5910 (jim_thompson5910):
it's not B either
OpenStudy (texaschic101):
your just guessing....work it out.
Do you know the FOIL method or you can just do it the way jim showed you
OpenStudy (texaschic101):
do you want some help ?
OpenStudy (texaschic101):
I am not going to participate unless you participate
OpenStudy (anonymous):
yes please, I will
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jimthompson5910 (jim_thompson5910):
do you see how my example works ?
OpenStudy (anonymous):
yeah
jimthompson5910 (jim_thompson5910):
so in the case of the example
a = x
b = 5
and they are plugged into (a+b)(a-b) = a^2 - b^2
OpenStudy (anonymous):
so x^2-5^2
jimthompson5910 (jim_thompson5910):
correct, then 5^2 turns into 25
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jimthompson5910 (jim_thompson5910):
so that's how I got (x-5)(x+5) = x^2 - 25
OpenStudy (texaschic101):
jim...this doesn't work on all problems, should I show her the FOIL method or do you thin that will confuse her
OpenStudy (anonymous):
so x^2+10x+25
OpenStudy (texaschic101):
typo * think
jimthompson5910 (jim_thompson5910):
go ahead
I figured that the short and easy way works just as well
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OpenStudy (anonymous):
x^2+10+25x?
jimthompson5910 (jim_thompson5910):
but you can go the FOIL route if you want
OpenStudy (texaschic101):
ok.....I like this way
FOIL
it stands for (first, outside, inside, last.
(x + 3)(x - 3)
F - multiply the first terms in each set....x * x = x^2
you can do the rest
O - multiply the outside terms in each set...x * -3 = ?
I - multiply the inside terms in each set...3 * x = ?
L - multiply the last terms in each set...3 * -3 = ?
Can you understand what I am doing ?
OpenStudy (anonymous):
yes but brb I gotta go to the store real quick
OpenStudy (texaschic101):
tag me when you get back and we can finish
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OpenStudy (anonymous):
@texaschic101
OpenStudy (texaschic101):
I am here....shall we finish...can you answer the last questions I posted ?
OpenStudy (anonymous):
x^2-9x-9
OpenStudy (texaschic101):
not quite...don't guess....lets do this
we are on the outside terms
O - multiply the outside terms in each set...x * -3 = ?
OpenStudy (anonymous):
-3x
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OpenStudy (texaschic101):
correct....now the inside terms...3 * x = ?
OpenStudy (anonymous):
3x
OpenStudy (texaschic101):
correct....now the last terms in each set...3 * -3 = ?
OpenStudy (anonymous):
-9
OpenStudy (texaschic101):
Now we will put all our answers together...
x^2 - 3x + 3x - 9
now we can combine like terms
can you do that ?
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OpenStudy (anonymous):
yes so its x^2+9x-9
OpenStudy (texaschic101):
no....look at your -3x and 3x....they are opposites so they cancel each other out leaving us with x^2 - 9
Do you understand ?
OpenStudy (anonymous):
ohhhh, yeah now I understand lol
OpenStudy (texaschic101):
thats good....Just remember FOIL....first,outside,inside,last....it will come easier once you learn it....
OpenStudy (anonymous):
I think I'm getting it now, thank you so much!
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