Factorize x^2-(2x)^2-2x^2-2x-3
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Let z = x² - 2x
Then [tex]\sf F = z² - 2 z - 3[/tex]
[tex] \sf = (z - 3) (z + 1) [/tex]
[tex] \sf = ( x² - 2x - 3) (x² - 2x + 1)[/tex]
[tex] \sf = (x -3 ) (x + 1) (x - 1)² [/tex]
[tex]x^2-(2x)^2-2x^2-2x-3 \\ in \: this \: factorize \: i \: will \: simplify \: it \: so \: that \: it \: can \: be \: easir[/tex]
[tex]let \: x {}^{2} - 2x = y[/tex]
[tex]y {}^{2} - 2y - 3[/tex]
[tex](y - 3)(y + 1)[/tex]