Question

12. If u, y and z are rational numbers, which of the following equations is/are true?

I) u × ( y + z ) = ( u × y ) + ( u × z )

II) u × ( y - z ) = ( u × y ) - ( u × z )

III) u × ( y × z ) = ( u × y ) × ( u × z )

IV) u + ( y × z ) = ( u + y ) × ( u + z )

A. only I

B. only I and II

C. only I, II and III

D. only I, II and IV​

Answer 1

12. If u, y and z are rational numbers, which of the following equations is/are true?

I) u × ( y + z ) = ( u × y ) + ( u × z )

$\green{ ( True )}$

$\pink{ ( Distributive \:Property ) }$

II) u × ( y - z ) = ( u × y ) - ( u × z )

$\green{ ( True )}$

$\pink{ ( Distributive \:Property ) }$

III) u × ( y × z ) = ( u × y ) × ( u × z )

$\red{ ( False )}$

IV) u + ( y × z ) = ( u + y ) × ( u + z )

$\red{ ( False )}$

Therefore.,

$Option \: \blue{ (B) } \:is \: correct.$

•••♪