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Basic Math Examples
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Basic Math
Evaluate 4xy(9x+3y)
4
x
y
(
9
x
+
3
y
)
4
x
y
(
9
x
+
3
y
)
Step 1
Apply the
distributive property
.
4
x
y
(
9
x
)
+
4
x
y
(
3
y
)
4
x
y
(
9
x
)
+
4
x
y
(
3
y
)
Step 2
Multiply
x
x
by
x
x
by adding the
exponents
.
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Step 2.1
Move
x
x
.
4
(
x
⋅
x
)
y
⋅
9
+
4
x
y
(
3
y
)
4
(
x
⋅
x
)
y
⋅
9
+
4
x
y
(
3
y
)
Step 2.2
Multiply
x
x
by
x
x
.
4
x
2
y
⋅
9
+
4
x
y
(
3
y
)
4
x
2
y
⋅
9
+
4
x
y
(
3
y
)
4
x
2
y
⋅
9
+
4
x
y
(
3
y
)
4
x
2
y
⋅
9
+
4
x
y
(
3
y
)
Step 3
Multiply
y
y
by
y
y
by adding the
exponents
.
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Step 3.1
Move
y
y
.
4
x
2
y
⋅
9
+
4
x
(
y
⋅
y
)
⋅
3
4
x
2
y
⋅
9
+
4
x
(
y
⋅
y
)
⋅
3
Step 3.2
Multiply
y
y
by
y
y
.
4
x
2
y
⋅
9
+
4
x
y
2
⋅
3
4
x
2
y
⋅
9
+
4
x
y
2
⋅
3
4
x
2
y
⋅
9
+
4
x
y
2
⋅
3
4
x
2
y
⋅
9
+
4
x
y
2
⋅
3
Step 4
Simplify each
term
.
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Step 4.1
Multiply
9
9
by
4
4
.
36
x
2
y
+
4
x
y
2
⋅
3
36
x
2
y
+
4
x
y
2
⋅
3
Step 4.2
Multiply
3
3
by
4
4
.
36
x
2
y
+
12
x
y
2
36
x
2
y
+
12
x
y
2
36
x
2
y
+
12
x
y
2
36
x
2
y
+
12
x
y
2
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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