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