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Trigonometry Examples
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Trigonometry
Expand Using Sum/Difference Formulas x(4x+1)
x
(
4
x
+
1
)
x
(
4
x
+
1
)
Step 1
Apply the
distributive property
.
x
(
4
x
)
+
x
⋅
1
x
(
4
x
)
+
x
⋅
1
Step 2
Simplify the
expression
.
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Step 2.1
Rewrite using the
commutative property of multiplication
.
4
x
⋅
x
+
x
⋅
1
4
x
⋅
x
+
x
⋅
1
Step 2.2
Multiply
x
x
by
1
1
.
4
x
⋅
x
+
x
4
x
⋅
x
+
x
4
x
⋅
x
+
x
4
x
⋅
x
+
x
Step 3
Multiply
x
x
by
x
x
by adding the
exponents
.
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Step 3.1
Move
x
x
.
4
(
x
⋅
x
)
+
x
4
(
x
⋅
x
)
+
x
Step 3.2
Multiply
x
x
by
x
x
.
4
x
2
+
x
4
x
2
+
x
4
x
2
+
x
4
x
2
+
x
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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