question archive (2 points) The squares of two odd integers are added together

(2 points) The squares of two odd integers are added together

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(2 points) The squares of two odd integers are added together. Develop a conjecture about whether the
sum is odd or even. Provide evidence to support your conjecture.

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When we add squares of two odd numbers we will always get  an even number .

Step-by-step explanation

odd numbers 1 , 3 , 5, 7 , 9, 11 - - - Add The squares of two odd integers 12 + 32 = 1 + 9 2 10 (even ) 32 + 52 2 9+ 25 = 34 Leven ] 52 + 92 = 25+ 8 1 = 166 lever 7 + 112 = 49+ 1212 170 (even] 15 + 21 - = 225 + 4 41 = 6 66 (even ] 172 + 19 = 289+ 361 = 650 [ever ] from all these we can say that when we add squares of two odd numbers we will always get an even number