anonymous
  • anonymous
Simplify (4x − 5)^2.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
(a+b)^2=a^2 + b^2 + 2ab
anonymous
  • anonymous
does that mean "multiply"? start with \[(4x+5)(4x+5)\] and do four multiplications
anonymous
  • anonymous
(a-b)^2 = a^2 + b^2 -2ab

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anonymous
  • anonymous
oops rather \[(4x-5)(4x-5)\]
anonymous
  • anonymous
thankss(:
anonymous
  • anonymous
do four multiplications, combine like terms, and then tell your teacher (gently) that there is nothing "simpler" about your result than there is in \((4x-5)^2\)
anonymous
  • anonymous
is it 16x+25?
anonymous
  • anonymous
oh no! careful here
anonymous
  • anonymous
four multiplications i will write them out
anonymous
  • anonymous
\[(4x-5)(4x-5)=4x\times 4x-5\times 4x-5\times 4x+5\times 5\]
anonymous
  • anonymous
(4x-5)^2 = 16x^2 -40x +25.
anonymous
  • anonymous
16x-40x+25?
anonymous
  • anonymous
then \(4x\times 4x=16x^2\) \(-5\times 4x-5\times 4x=-20x-20x=-40x\) \((-5)\times (-5)=25\) final answer is \[16x^2-40x+25\]
anonymous
  • anonymous
now factorize it or solve by formula \[x=-b \pm \sqrt{b^{2}-4ac}/2a\]
anonymous
  • anonymous
no marmar it's 16x^2 - 40x +25. not 16x
anonymous
  • anonymous
now use quadratic formula or apply factorization method.it's up to u
anonymous
  • anonymous
U got it marmar? just use formula (a-b)^2 = a^2 + b^2 -2ab. then find x by factorization or quadratic formula.Simple!
anonymous
  • anonymous
yea, thanks guys!

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