laws of algebraic expression
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Step-by-step explanation:
Laws of Algebra
Let a,b,c be three variables. Then the followings are some basic rules of algebra applicable to these variables.
Commutative Law for Addition
a+b=b+aa+b=b+a
Commutative Law for Multiplication
a.b=b.aa.b=b.a
Associative Law for Addition
a+(b+c)=(a+b)+ca+(b+c)=(a+b)+c a+(b+c)=(a+b)+ca+(b+c)=(a+b)+c
Associative Law for Multiplication
a.(b.c)=(a.b).ca.(b.c)=(a.b).c a.(b.c)=(a.b).ca.(b.c)=(a.b).c
Distributive Law
a.(b+c)=(a.b)+(a.c)a.(b+c)=(a.b)+(a.c) a.(b+c)=(a.b)+(a.c)a.(b+c)=(a.b)+(a.c)
Cancellation Law for Addition
a+c=b+c⇔a=ba+c=b+c⇔a=b
Cancellation Law for Multiplication
a.c=b.c⇔a=ba.c=b.c⇔a=b where c != 0
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Answer:
the basic laws of algebra are the associative, commutative and distributive laws they help explain the relationship between number operation and lends towards simplifying equations or solving them