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Proving Polynomial Identities
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Algebra 2
Polynomial Functions
Proving Polynomial Identities
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Proving Polynomial Identities 1.7 - Solution
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a
The
area of a rectangle
is calculated by multiplying the width by the length.
A
=
(
x
+
3
)
(
x
−
3
)
We simplify this by
difference of squares
.
A
=
(
x
+
3
)
(
x
−
3
)
ExpandDiffSquares
(
a
+
b
)
(
a
−
b
)
=
a
2
−
b
2
A
=
x
2
−
3
2
CalcPow
Calculate power
A
=
x
2
−
9
b
The
triangle's area
is calculated by multiplying the base by the height and dividing the product by
2
.
A
=
2
(
a
+
2
)
(
a
−
2
)
We simplify this using the difference of squares.
A
=
2
(
a
+
2
)
(
a
−
2
)
ExpandDiffSquares
(
a
+
b
)
(
a
−
b
)
=
a
2
−
b
2
A
=
2
a
2
−
2
2
CalcPow
Calculate power
A
=
2
a
2
−
4
WriteSumFrac
Write as a sum of fractions
A
=
2
a
2
−
2
4
CalcQuot
Calculate quotient
A
=
2
a
2
−
2