If a [] b is an operation for integers a and b such that a [] b= a b + b x b - 2x ax (-b), then find (-8) [] (-2).
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Step-by-step explanation:
Given :-
a [] b is an operation for integers a and b such that a [] b= a b + b x b - 2x ax (-b)
To find:-
Find the value of (-8) [] (-2) ?
Solution:-
Given that
a [] b is an operation for integers a and b such that a [] b= a b + b x b - 2x ax (-b)
We have a = -8 and b= -2
Now the value of (-8) [] (-2)
=> (-8)(-2) + (-2)(-2) -2×(-8)×(-(-2))
=> 16 + 4 - 2(-8)×(2)
=> 16+4 -(-32)
=> 16+4+32
=> 52
Answer:-
The value of (-8) [] (-2) for the given problem is 52
Used formula:-
- (+)quantity × (+) quantity =(+) quantity
- (+)quantity × (-) quantity =(-) quantity
- (-)quantity × (+) quantity =(-) quantity
- (-)quantity × (-) quantity =(+) quantity
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