Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Let and . Find…
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
Let
x
=
2001
1002
−
2001
−
1002
x = 2001^{1002} - 2001^{-1002}
x
=
200
1
1002
−
200
1
−
1002
and
y
=
2001
1002
+
2001
−
1002
y = 2001^{1002} + 2001^{-1002}
y
=
200
1
1002
+
200
1
−
1002
. Find
x
2
−
y
2
x^2 - y^2
x
2
−
y
2
.
Related theory
Algebraic Identities
Polynomials
Polynomial Functions
Algebra
Algebraic expansions
Browse the problem library