For integers a and b , let ⊗ be the binary operation a ⊗ b = ( a × a ) − ( b × b ) . What is the value of 4 ⊗ 3 ?
This problem is posed by Mukul G .
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a=4 b=3 (aXa)-(bXb) =(4X4)-(3X3) =(16)-(9) =16-9 =7
4 ⊗ 3 = ( 4 × 4 ) − ( 3 × 3 )
4 × 4 − 3 × 3 = 1 6 − 9 = 7
So, our final answer is 7
Its simply (4+3)(4-3)
Subs a=4, b=3 into eq., (4 4) - (3 3) = 16-9 = 7
( 4 x 4 ) - (3 x 3) 16 - 9 = 7 7 is the Answer.
(a x a ) - ( b x b ) = a^2 - b^2
so the sign ⊗ means the difference between the squares of 2 values ! so 4 ⊗ 3 = ( 4 ^ 2 ) - ( 3 ^ 2 ) = 16 - 9 = 7
i wrote this cause i wanted to test if it has extra points or not !
i know that was so clear !
4⊗3=(4×4)−(3×3)
4⊗3=(16)−(9)
4⊗3=7
FORMULA ----> a b = (a a) (b b) PROBLEM ----> 4 3 ........4 4=16 3 3=9 16-9= 7
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In mathematics, a binary operation is a calculation involving two elements(the operands) of a set and produce another element of the set. A basic example would be addition.
Take, 4 + 3 = 7 for example. 4 and 3 are the operands, + is the operator, and 7 is the resulting element. We have been conditioned to know the addition operator(+) tells us to take the two operands and sum them together to produce the resulting element.
Now take the operator ⊗. We don't need to have any prior knowledge of the operator since the problem defines the calculation to be done on the two operands to produce the answer.
a ⊗ b = ( a × a ) − ( b × b ) .
∴ 4 ⊗ 3 = ( 4 × 4 ) − ( 3 × 3 ) = 7