The value of 52 xyz xy - yz - xz - y 2 z - x - 104 xy xy - xz - yz - y 2 is-A- 5408 xy 2 z z - x xy - yz - xz - y 22B- 540 x2 y2 zz-xx y-y z-x z-y22C- 5408 x 2 y 2 z z - x xy - yz - xz - y 22D- 5408 x 2 yz z - x xy - yz - xz - y 22

The correct option is C 5408x^2y^2z (z+x) (xy+yz+xz+y^2)^2 52xyz (xy + yz + xz + y^2)(z + x) × 104xy (xy + xz + yz + y^2) =5408xxyyz (xy+yz+xz+y^2)(z+x)(xy+y ...

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Byju's Answer

Standard IX

Mathematics

Polynomial Expressions

The value of ...

Question

The value of $52 x y z (x y + y z + x z + y^{2}) (z + x) \times 104 x y (x y + x z + y z + y^{2})$ is:

$5408 x y^{2} z (z + x) (x y + y z + x z + y^{2})^{2}$

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$5408 x^{2} y^{2} z (z + x) (x y + y z + x z + y^{2})^{2}$

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$5408 x^{2} y z (z + x) (x y + y z + x z + y^{2})^{2}$

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$540 x^{2} y^{2} z (z + x) (x y + y z + x z + y^{2})^{2}$

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Solution

The correct option is B
$5408 x^{2} y^{2} z (z + x) (x y + y z + x z + y^{2})^{2}$

$52 x y z (x y + y z + x z + y^{2}) (z + x) \times 104 x y (x y + x z + y z + y^{2})$

= $5408 x x y y z (x y + y z + x z + y^{2}) (z + x) (x y + y z + x z + y^{2})$

= $5408 x^{2} y y z (x y + y z + x z + y^{2}) (z + x) (x y + y z + x z + y^{2})$

= $5408 x^{2} y^{2} z (x y + y z + x z + y^{2}) (z + x) (x y + y z + x z + y^{2})$

= $5408 x^{2} y^{2} z (z + x) (x y + y z + x z + y^{2})^{2}$

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Similar questions

Q. The value of 52 xyz (xy + yz + xz +

y^{2}

)(z + x) + 104xy (xy + xz + yz +

y^{2}

) is

___

Q. If

x^{2} + x y + x z = 135, y^{2} + y z + x y = 351

and

z^{2} + x z + y z = 243

, then

x^{2} + y^{2} + z^{2} = ?

Simplify the expression: \frac{52 w x y z (x y + y z + x z + y^{2}) (z + x)}{104 x y (x y z + x z^{2} + y z^{2} + y^{2} z)}

Simplify the expression: \frac{52 w x y z (x y + y z + x z + y^{2}) (z + x)}{104 x y (x y z + x z^{2} + y z^{2} + y^{2} z)}

If x+y+z=6, xy+xz+yz=11, xyz=6 thenequals

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The value of 52xyz(xy+yz+xz+y2)(z+x)×104xy(xy+xz+yz+y2) is:

The correct option is B 5408x2y2z(z+x)(xy+yz+xz+y2)2 52xyz(xy+yz+xz+y2)(z+x)×104xy(xy+xz+yz+y2) =5408xxyyz(xy+yz+xz+y2)(z+x)(xy+yz+xz+y2) =5408x2yyz(xy+yz+xz+y2)(z+x)(xy+yz+xz+y2) =5408x2y2z(xy+yz+xz+y2)(z+x)(xy+yz+xz+y2) =5408x2y2z(z+x)(xy+yz+xz+y2)2

The value of $52 x y z (x y + y z + x z + y^{2}) (z + x) \times 104 x y (x y + x z + y z + y^{2})$ is: