(iii) (a? + b) (a + b2)
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std-8
sub-maths
lesson-9
Exercise-9.4
que-find the product
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Answer:
Check commutative is
a∗b=b∗a
a∗b=a−b
b∗a=b−a
Since, a∗b=b∗a
∗ is not commutative.
Check associative
∗ is associative if
(a∗b)∗c=a∗(b∗c)(a∗b)∗c=(a−b)∗c=(a−b)−c=a−b−ca∗(b∗c)=a∗(b−c)=a−(b−c)=a−b+c
Since (a∗b)∗c=a∗(b∗c)
∗ is not an associative binary operation.
Step-by-step explanation:
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