The correct option is C z(2x z)(2x^2 2xz + z^2) x^4 (x z)^4=(x^2)^2 [((x z)^2)^2] =[x^2 (x z)^2][x^2+(x z)^2] =[x (x z)][x+(x z)][x^2+(x z)^2] =z(2x z)[ ...

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Byju's Answer

Standard VIII

Mathematics

Multiplication of a Monomial and a Polynomial

x4-x-z4=

Question

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

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

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

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

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$z (2 x + z) (2 x^{2} + 2 x z + z^{2})$

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Solution

The correct option is B
$z (2 x - z) (2 x^{2} - 2 x z + z^{2})$

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

Suggest Corrections

x4−(x−z)4=

The correct option is B z(2x−z)(2x2−2xz+z2) x4−(x−z)4=(x2)2−[((x−z)2)2]=[x2−(x−z)2][x2+(x−z)2]=[x−(x−z)][x+(x−z)][x2+(x−z)2]=z(2x−z)[x2+x2−2xz+z2]=z(2x−z)(2x2−2xz+z2)

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