Simplify -z-19-19 x y-x y z -z-19

The correct option is B 1 xyGiven, the expression is z 19+19xy xyz/(z 19). Now, the numerator can be factorized as, z 19+19xy xyz =1(z 19) xy( 19+z) =1(z 19) ...

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Byju's Answer

Standard VIII

Mathematics

Division of an Expression by a Expression

Simplify :z-1...

Question

$S i m p l i f y : (z - 19 + 19 x y - x y z) \div (z - 19)$

1 - x y z

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1 - x y

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1 + x y

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1 + x y z

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Solution

The correct option is B $1 - x y$
Given, the expression is
$\frac{z - 19 + 19 x y - x y z}{(z - 19)} .$
Now, the numerator can be factorized as,
$z - 19 + 19 x y - x y z$
$= 1 (z - 19) - x y (- 19 + z)$
$= 1 (z - 19) - x y (z - 19)$
$= (1 - x y) (z - 19)$
Therefore,
$\frac{z - 19 + 19 x y - x y z}{(z - 19)} = \frac{(1 - x y) (z - 19)}{(z - 19)} = 1 - x y$

Suggest Corrections

Simplify: (z−19+19xy−xyz)÷(z−19)

The correct option is B 1−xyGiven, the expression is z−19+19xy−xyz(z−19). Now, the numerator can be factorized as, z−19+19xy−xyz =1(z−19)−xy(−19+z) =1(z−19)−xy(z−19) =(1−xy)(z−19) Therefore, z−19+19xy−xyz(z−19)=(1−xy)(z−19)(z−19)=1−xy

$S i m p l i f y : (z - 19 + 19 x y - x y z) \div (z - 19)$