bewellplus.gsu.edu
Anonymous Anonymous
  • 08-12-2013
  • Mathematics
Answered

I need help for algebra 2 for simplify form for example (3x-2i)(3x+2i)

Verified Answer :

D3xt3R
D3xt3R D3xt3R
  • 08-12-2013

Let's start...

\((3x-2i)*(3x+2i)\)

\(3x*3x+3x*2i-2i*3x-2i*2i\)

\(9x^2+6xi-6xi-4i^2\)

\(9x^2-4i^2\)

we don't finish it yet...

\(i^2=-1\)

Let's replace it

\(9x^2-4*(-1)\)

\(\boxed{\boxed{9x^2+4}}\)

Answer Link
tomek1172
tomek1172 tomek1172
  • 09-12-2013

\((a+b)(a-b)=a^2-b^2\\\\ (3x-2i)(3x+2i)=\\ 9x^2-4i^2\\ \\ i=\sqrt{-1}\\ i^2=-1\\ \\ 9x^2-4\cdot (-1)=9x^2+4\)

Answer Link

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