Question

Which of the following is/are correctly matched to their respective statement?

• A. Distributive Law This law permits multiplying or factoring out of an expression.
• B. Double Negation Law This law allows removal of brackets from an expression and regrouping of the variables.
• C. Commutative Law The order of application of two separate terms is not important.
• D. Associative Law A term that is inverted twice is equal to the original term.

Answer 1

Answer: (A), (C)

The correct options are
A Distributive Law This law permits multiplying or factoring out of an expression.
C Commutative Law The order of application of two separate terms is not important.

According to the commutative Law,

$A+B=B+A$

$A.B=B.A$

Hence the order of application is not important.

According to the Associative Law,

$A+(B+C)=(A+B)+C$

$A.(B.C)=(A.B).C$

According to the Distributive Law,

$(A+B).(A+C)=A.A+A.C+B.A+B.C$

Hence, multiplying or factoring out is permitted.