[tex]( x^{2} + 4x - 12) ^{2} [/tex]=. Created by aartemm. algebra-ru

tex]=...

August 2022 1 11 Report

[tex]( x^{2} + 4x - 12) ^{2} [/tex]=

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OWIkirilka $(x^2+4x-12)^2=(x^2+4x+4-16)^2=((x+2)^2-4^2)^2=\\((x+2-4)(x+2+4))^2=((x-2)(x+6))^2=\\(x-2)(x-2)(x+6)(x+6)=(x^2-4x+4)(x^2+12x+36)=\\x^4+12x^3+36x^2-4x^3-48x^2-144x+4x^2+48x+144=\\x^4+8x^3-8x^2-96x+144$

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aartemm ...думаю я прочту это завтра...

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