The value of 52 x y zx y-y z-x z-y2z-x - 104 x yx y-x z-y z-y2 is

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 VII

Mathematics

Dividing a Polynomial by a Polynomial

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

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:

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:

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)}

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)}

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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: