If a b is an operation for integers an and b such that a b = a × b + b × b - 2 × a × ( - b ) , then find ( - 8 ) ( - 2 )

When a b = a × b + b × b - 2 × a × ( - b ) , then ( - 8 ) ( - 2 ) So, - 8 × - 2 + - 2 × - 2 - 2 × - 8 × - - 2 = 16 + 4 - 2 × - 8 × 2 = 16 + 4 + 32 = 52

Missing numbers are the numbers that got missed in the given series of numbers with similar differences among them. The process of writing the missing numbers is termed as finding similar changes between those numbers and filling their missing values in their specific series and places. We can see here, all the given numbers are divisible by 2 . We know, - 16 × - 2 = 32 - 4 × - 2 = 8 8 × - 2 = - 16 - 16 × - 2 = 32 32 × - 2 = - 64 - 64 × - 2 = 128 After finding the missing numbers the pattern will be like. - 4 , 8 , - 16 , 32 , - 64 , 128 .

When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive. When you divide two integers with different signs, the result is always negative. 144 ÷ 12 12 12 144 DIVISION. RULE 1 : The quotient of a positive integer and a negative integer is negative. RULE 2 : The quotient of two positive integers is positive. RULE 3 : The quotient of two negative integers is positive. Hence, the required answer is a positive number that is 12 .

Divide: 72 ÷ ( - 8 )

When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive. When you divide two integers with different signs, the result is always negative. DIVISION. RULE 1 : The quotient of a positive integer and a negative integer is negative. RULE 2 : The quotient of two positive integers is positive. RULE 3 : The quotient of two negative integers is positive. 72 ÷ ( - 8 ) 8 9 72 Absolute value of the quotient is 9 but the divisor is negative. Therefore, the answer is - 9 .

Divide: ( - 125 ) ÷ 5

When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive. When you divide two integers with different signs, the result is always negative. DIVISION. RULE 1 : The quotient of a positive integer and a negative integer is negative. RULE 2 : The quotient of two positive integers is positive. RULE 3 : The quotient of two negative integers is positive. - 125 ÷ 5 5 25 125 Absolute value of the quotient is 25 but the dividend is negative. Therefore, the answer is - 25 .