Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Consider the product of the two binomials and .
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Consider the product of the two binomials
(
x
+
y
)
(x + y)
(
x
+
y
)
and
(
x
−
y
)
(x - y)
(
x
−
y
)
. (i) Expand the expression
(
x
+
y
)
(
x
−
y
)
(x + y)(x - y)
(
x
+
y
)
(
x
−
y
)
and simplify it. (ii) Explain, in one or two sentences, why the simplified expression obtained in part (i) contains no term involving
x
y
xy
x
y
.
Related theory
Algebraic Identities
Polynomials
Algebra
Browse the problem library