Question

Bradley completed a proof of his conjecture but before he could hand it in to his teacher he dripped tomato sauce on it. He is rewriting his proof but there are places where the tomato sauce has covered his work. help Bradley fill in the gaps of his proof.
Let 2a represent an ___ integer and 2b + 1 represent and odd integer.
(2a)^2 + (2b+1)^2 = 4a^2 + (2b + 1) (2b + 1)
= 4a^2 + 4b^2 + 2b + 2b +1
= 4a^2 + 4b^2 + 4b + 1
= 2(2a^2 + 2b^2 +2b) + 1
This is an odd integer. It is in the form of 2 times a number plus 1.

- Explain how Bradley uses both inductive and deductive reasoning in his process.

Answer 1

Bradley completed a proof of his conjecture but before he could hand it in to his teacher he dripped tomato sauce on it. He is rewriting his proof but there are places where the tomato sauce has covered his work. help Bradley fill in the gaps of his proof.
Let 2a represent an ___ integer and 2b + 1 represent and odd integer.
(2a)^2 + (2b+1)^2 = 4a^2 + (2b + 1) (2b + 1)
= 4a^2 + 4b^2 + 2b + 2b +1
= 4a^2 + 4b^2 + 4b + 1
= 2(2a^2 + 2b^2 +2b) + 1
This is an odd integer. It is in the form of 2 times a number plus 1.

- Explain how Bradley uses both inductive and deductive reasoning in his process.

In three sentence

Answer 2

Bradley completed a proof of his conjecture but before he could hand it in to his teacher he dripped tomato sauce on it. He is rewriting his proof but there are places where the tomato sauce has covered his work. help Bradley fill in the gaps of his proof.
Let 2a represent an ___ integer and 2b + 1 represent and odd integer.
(2a)^2 + (2b+1)^2 = 4a^2 + (2b + 1) (2b + 1)
= 4a^2 + 4b^2 + 2b + 2b +1
= 4a^2 + 4b^2 + 4b + 1
= 2(2a^2 + 2b^2 +2b) + 1
This is an odd integer. It is in the form of 2 times a number plus 1.

- Explain how Bradley uses both inductive and deductive reasoning in his process.

In two sentence