Mathematics
neelam2001
5

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

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(2) Answers
katiebabyyy

Let's start... [latex](3x-2i)*(3x+2i)[/latex] [latex]3x*3x+3x*2i-2i*3x-2i*2i[/latex] [latex]9x^2+6xi-6xi-4i^2[/latex] [latex]9x^2-4i^2[/latex] we don't finish it yet... [latex]i^2=-1[/latex] Let's replace it [latex]9x^2-4*(-1)[/latex] [latex]\boxed{\boxed{9x^2+4}}[/latex]

anyacanary

[latex](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[/latex]

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