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avatar+578 

So I know how to simplify something like 

\((x+7)(x-7)=x^2-49\)

but can someone give me an easy way to simplify something like

\((2x-3i)(2x+3i)(x+8)(x+2)=?\)

and I'm also going to ask another question about that math problem when I get this answer, so be warned.

 

 

Oh! If anyone needs a tip on LaTeX use, message me.

 Dec 1, 2017
 #1
avatar+103671 
+3

\((2x-3i)(2x+3i)(x+8)(x+2)\\ =(4x^2-9i^2)(x+8)(x+2)\\ =(4x^2+9)(x+8)(x+2)\\ =(4x^2+9)(x^2+10x+16)\\ =4x^2(x^2+10x+16)\quad +\quad 9(x^2+10x+16)\\ etc\)

.
 Dec 1, 2017
 #2
avatar+578 
+2

I'm sorry, but I need a full polynomial form, not factored form.

 #3
avatar+103671 
+2

Just expand it our and then collect like terms.  I thought you cold do that yourself :/

Melody  Dec 1, 2017
 #4
avatar+578 
+3

idk how with polynomials...

 #5
avatar+578 
+2

and im kinda full with a lot of math at once

 #6
avatar+103671 
+3

\(=4x^2(x^2+10x+16)\quad +\quad 9(x^2+10x+16)\\ =4x^4+40x^3+64x^2\quad +\quad 9x^2+90x+144\\ =4x^4+40x^3+73x^2+90x+144\\\)

Melody  Dec 1, 2017
 #7
avatar+578 
+3

thanks


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