Proving and Applying Polynomial Identities
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
What identity verifies
(
m
2
−
n
2
)
2
+
(
2
m
n
)
2
=
(
m
2
+
n
2
)
2
(m^2-n^2)^2+(2mn)^2=(m^2+n^2)^2
(
m
2
−
n
2
)
2
+
(
2
mn
)
2
=
(
m
2
+
n
2
)
2
?
QUESTION
What triple results from
m
=
4
m=4
m
=
4
and
n
=
3
n=3
n
=
3
using
a
=
m
2
−
n
2
a=m^2-n^2
a
=
m
2
−
n
2
,
b
=
2
m
n
b=2mn
b
=
2
mn
,
c
=
m
2
+
n
2
c=m^2+n^2
c
=
m
2
+
n
2
?
QUESTION
What is the factored form of
x
3
−
27
x^3-27
x
3
−
27
?
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ANSWER
(
x
−
3
)
(
x
2
+
3
x
+
9
)
(x-3)(x^2+3x+9)
(
x
−
3
)
(
x
2
+
3
x
+
9
)
. Recognize
27
=
3
3
27=3^3
27
=
3
3
and apply difference of cubes formula.
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