Factors of x-4 -x-z-4 are-2x-2- 2xz - z-2-2x-zzx

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Toppr Admin · Accepted Answer

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Factors of $x^{4} - (x - z)^{4}$ are
$(2 x^{2} - 2 x z + z^{2})$
$2 x - z$
$z$
$x$

$x^{4} - (x - z)^{4}$
$= (x^{2})^{2} - {{(x - z)}^{2}}^{2}$
$= (x^{2} + (x - z)^{2}) (x^{2} - (x - z)^{2})^{2}$
$= (x^{2} + x^{2} - 2 x z + z^{2}) (x + x - z) (x - x + z)$
$= (2 x^{2} - 2 x z + z^{2}) (2 x - z) (z)$

Factors of x4−(x−z)4 are(2x2−2xz+z2)2x−zzx

x4−(x−z)4=(x2)2−{(x−z)2}2=(x2+(x−z)2)(x2−(x−z)2)2=(x2+x2−2xz+z2)(x+x−z)(x−x+z)=(2x2−2xz+z2)(2x−z)(z)

Factors of $x^{4} - (x - z)^{4}$ are
$(2 x^{2} - 2 x z + z^{2})$
$2 x - z$
$z$
$x$

$x^{4} - (x - z)^{4}$
$= (x^{2})^{2} - {{(x - z)}^{2}}^{2}$
$= (x^{2} + (x - z)^{2}) (x^{2} - (x - z)^{2})^{2}$
$= (x^{2} + x^{2} - 2 x z + z^{2}) (x + x - z) (x - x + z)$
$= (2 x^{2} - 2 x z + z^{2}) (2 x - z) (z)$