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marbo1
12.07.2019 •
Mathematics
True or false: 1. the difference between two consecutive perfect square numbers is always odd. 2. for any two integers, a and b, (a+b)^2=a^2+b^2
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Ответ:
1) The product of two equal integers is known as a perfect square. Given the following consecutive integers
1, 2, 3, 4, 5...
Their perfect squares are respectively 1, 4, 9, 16, 25...
Difference between two consecutive perfect squares
4 - 1 = 3
9 - 4 = 5
16 - 9 = 7
25 - 16 = 9
This shows that the result of the difference between two consecutive perfect square numbers is always odd. Hence the statement is TRUE
2) Given the expression (a+b)²
Expand
This shows that the equation (a+b)² = a² +b² is FALSE
Learn more here:
Ответ:
1) True. Make a list of the first few perfect squares (1, 4, 9, 16, 25, 36, 49, 64,81)
2) False. (a + b)(a + b) = a² + 2ab + b²
Ответ:
Ok then
Explanation: