Question:
The identity [tex]A^2 - B^2 = (A + B) (A - B)[/tex] is true for all values of A and B. Compute the whole number value of [tex]2021^2 -2022^2[/tex]
Answer:
[tex]2021^2 - 2022^2 = -4043[/tex]
Step-by-step explanation:
Given
[tex]A^2 - B^2 = (A + B) (A - B)[/tex]
Required
Solve: [tex]2021^2 -2022^2[/tex]
In: [tex]2021^2 -2022^2[/tex]
[tex]A = 2021; B = 2022[/tex]
[tex]A^2 - B^2 = (A + B) (A - B)[/tex] becomes
[tex]2021^2 - 2022^2 = (2021 + 2022)(2021 - 2022)[/tex]
[tex]2021^2 - 2022^2 = (4043)(-1)[/tex]
[tex]2021^2 - 2022^2 = -4043[/tex]
