3 years ago

Find the parity of the following if a and b have different parities. (5a - 3b)(a² + 5b) + 2

Mathematics

1 answer:

sp2606 [1]3 years ago

4 0

9514 1404 393

Answer:

odd

Step-by-step explanation:

If 'a' and 'b' have different parity, the result has odd parity.

Assume a=odd, b=even

(5·odd -3·even) = odd

(odd^2 +5·even) = odd

(odd)(odd) +2 = odd

Assume a=even, b=odd

(5·even -3·odd) = odd

(even^2 +5(odd)) - odd

(odd)(odd) +2 = odd

_____

The attached verifies this with numbers.

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