anonymous
  • anonymous
would the answer of (a − b)(a − b) be a^2 - ab^2 - b^2
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
FOIL First: a*a = a^2 Outside = -ab Inside = -ab Last = -b(-b) = +b^2 What do we do with the -ab and the -ab?
anonymous
  • anonymous
Tkink -x + -x = -2x
anonymous
  • anonymous
I know to combine itt

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anonymous
  • anonymous
@chungerforever remember when we had \(5x+5x=10x\)? don't change the exponents here either
anonymous
  • anonymous
\(-ab-ab=?\)
anonymous
  • anonymous
oh minus! so just ab?
anonymous
  • anonymous
\(-10-10=?\)
anonymous
  • anonymous
oh I understand, so the answer is just a^2 - b^2?
anonymous
  • anonymous
hold the phone, careful arithmetic \(-10-10=?\)
anonymous
  • anonymous
hint, it is not 0
anonymous
  • anonymous
I'm sorry I have no idea, I'm not good at algebra ):
anonymous
  • anonymous
-10?
anonymous
  • anonymous
don't fret, we will work it out, but i was asking an arithmetic question \(-10-10=-20\)
anonymous
  • anonymous
\(-100-100=?\)
anonymous
  • anonymous
-200?
anonymous
  • anonymous
yes that is it !
anonymous
  • anonymous
\(-7-7=?\)
anonymous
  • anonymous
-14
anonymous
  • anonymous
ok good now we can move on to variables
anonymous
  • anonymous
\[-10-10=-20\] \[-100-100=-200\] \[-7-7=-14\] \[-12-12=-24\] and so on how about \[-x-x\]? well this must be the same as the others, namely \[-x-x=-2x\]
anonymous
  • anonymous
so -2ab?
anonymous
  • anonymous
notice that the exponent does not change spend $20, spend another $20 you have spent \(2\times 20=40\) yes you have it !
anonymous
  • anonymous
so "final answer" for \((a-b)(a-b)\) is ??
anonymous
  • anonymous
a^2 - 2ab - b^2?
anonymous
  • anonymous
yes that is it!
anonymous
  • anonymous
thank you so much! and sorry I was taking a while to reply. But thanks again I appreciate it (:
anonymous
  • anonymous
yw good work, hope you are understanding a bit more about combining like terms

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