anonymous
  • anonymous
show that if you apply a particular factoring formula to 9x^2-4 that you get (3x-2)(3x+2) How do I do this?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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cwrw238
  • cwrw238
this is the difference of two squares a^2 - b^2 = (a + b)(a - b)
cwrw238
  • cwrw238
so in your function a = 3x and b = 2
anonymous
  • anonymous
work it backwards to show that (3x-2)(3x+2)=9x^2-4 FOIL (3x-2)(3x+2)

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anonymous
  • anonymous
I dont get it?
anonymous
  • anonymous
I'll try it...
anonymous
  • anonymous
always true? ?
anonymous
  • anonymous
always true for difference of 2 squares
anonymous
  • anonymous
Do i solve it as a equation?
anonymous
  • anonymous
no, just FOIL (3x+2)(3x-2), you will end up with 9x^2-4 because the -6x and the +6x cancel
cwrw238
  • cwrw238
a^2 = 9x^2 so a = 3x b^1 = 4 so b = 2 now plug these values into the formula for a^2 - b^2
anonymous
  • anonymous
I dont get it!!
anonymous
  • anonymous
can someone explain this in a special ed term?
anonymous
  • anonymous
\[3x^{2}-2^{2}=(3x+2)(3x-2)\]

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