Question

497²-496²
I would be glad if you answered:)​

Answer 1

Answer:

simply apply this

(497+496)(497-496)

(993)(1)

=993

concept a^2-b^2=(a+b)(a-b)

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Answer 2

Answer:

993

Step-by-step explanation:

Here

Let

• 497=n
• 496=n-1

$\\ \sf{:}\dashrightarrow n^2-(n-1)^2$

$\\ \sf{:}\dashrightarrow n^2-(n^2-2n+1^2)$

$\\ \sf{:}\dashrightarrow n^2-(n^2-2n+1)$

$\\ \sf{:}\dashrightarrow n^2-n^2+2n-1$

$\\ \sf{:}\dashrightarrow 2n-1$

• Substitute the values

$\\ \sf{:}\dashrightarrow 2(497)-1$

$\\ \sf{:}\dashrightarrow 994-1$

$\\ \sf{:}\dashrightarrow 993$