Prove that if x and y are odd positive integers thenis even but not di

1.	Prove that if x and y are odd positive integers thenis even but not divisible by 4.
Answer» ANSWER: Please check the step by step explanation for complete steps Step-by-step explanation: LET the two ODD numbers be (2a+1) & (2b+1) because if we add 1 to any even no. it will be odd. x²+y² =>(2a+1)²+(2b+1)² =>(4a²+4a+1)+(4b²+4b+1) =>4(a²+b²+a+b)+2 4 Is not a multiple of 2 it means clearly that 4 is not multiple of x²+y² , so x²+y² is even but not divisible by 4. Hence proved.

Prove that if x and y are odd positive integers thenis even but not divisible by 4.

Answer»

ANSWER:

Please check the step by step explanation for complete steps

Step-by-step explanation:

LET the two ODD numbers be

(2a+1) & (2b+1) because if we add 1 to any even no. it will be odd.

x²+y²

=>(2a+1)²+(2b+1)²

=>(4a²+4a+1)+(4b²+4b+1)

=>4(a²+b²+a+b)+2

4 Is not a multiple of 2 it means clearly that 4 is not multiple of x²+y² , so x²+y² is even but not divisible by 4.

Hence proved.

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Prove that if x and y are odd positive integers thenis even but not divisible by 4.​

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Prove that if x and y are odd positive integers thenis even but not divisible by 4.