Question

values of ANB. Compute the whole number value of 2021 squared -2022The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of A and B. Compute the whole number value of 2021 squared -2020 squared

Answer 1

Question:

The identity $A^2 - B^2 = (A + B) (A - B)$ is true for all values of A and B. Compute the whole number value of $2021^2 -2022^2$

Answer:

$2021^2 - 2022^2 = -4043$

Step-by-step explanation:

Given

$A^2 - B^2 = (A + B) (A - B)$

Required

Solve:  $2021^2 -2022^2$

In: $2021^2 -2022^2$

$A = 2021; B = 2022$

$A^2 - B^2 = (A + B) (A - B)$ becomes

$2021^2 - 2022^2 = (2021 + 2022)(2021 - 2022)$

$2021^2 - 2022^2 = (4043)(-1)$

$2021^2 - 2022^2 = -4043$