Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Explain, in one or two sentences, why the expression
(
x
+
h
)
3
−
x
3
h
\dfrac{(x+h)^3-x^3}{h}
h
(
x
+
h
)
3
−
x
3
can be rewritten as
3
x
2
+
3
x
h
+
h
2
3x^2+3xh+h^2
3
x
2
+
3
x
h
+
h
2
before taking the limit as
h
→
0
h\to 0
h
→
0
.
Browse the problem library