The value of 52 xyz -xy - yz - xz - y-2-z - x- - 104xy -xy - xz - yz - y-2- is-z-z-x-2-z-z-x-2-x-z-x-2-x-z-x-2-

The correct option is A z(z+x)/2 52xyz(xy+yz+xz+y^2)(z+x)÷ 104xy(xy+xz+yz+y^2) =52xyz(xy+yz+xz+y^2)(z+x)/104xy(xy+xz+yz+y^2) =z(xy+yz+xz+y^2)(z+x)/2(xy+yz+xz ...

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Byju's Answer

Standard VIII

Mathematics

Division of Polynomials

The value of ...

Question

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

$\frac{z (z + x)}{2}$

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$\frac{z (z - x)}{2}$

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$\frac{x (z - x)}{2}$

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$\frac{x (z + x)}{2}$

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Solution

The correct option is A
$\frac{z (z + x)}{2}$

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

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

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

$= \frac{1}{2} (z) (x + z)$

$∴$ the required value is $\frac{z (z + x)}{2}$

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Similar questions

Identify the like terms in the following algebraic terms.

$x^{2} - x z + x y - y z = ? (a) (x - y) (x + z) (b) (x - y) (x - z) (c) (x + y) (x - z) (d) (x - y) (z - x)$

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

y^{2}

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

y^{2}

) is

___

Q. Find the value of

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

[2 M a r k s]

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:

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

The correct option is A z(z+x)2 52xyz(xy+yz+xz+y2)(z+x)÷104xy(xy+xz+yz+y2) =52xyz(xy+yz+xz+y2)(z+x)104xy(xy+xz+yz+y2) =z(xy+yz+xz+y2)(z+x)2(xy+yz+xz+y2) =12(z)(x+z) ∴ the required value isz(z+x)2

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