Algebra Examples

Multiply (x+2y)*(x^2-xy+3y)
Step 1
Expand by multiplying each term in the first expression by each term in the second expression.
Step 2
Simplify each term.
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Step 2.1
Multiply by by adding the exponents.
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Step 2.1.1
Multiply by .
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Step 2.1.1.1
Raise to the power of .
Step 2.1.1.2
Use the power rule to combine exponents.
Step 2.1.2
Add and .
Step 2.2
Rewrite using the commutative property of multiplication.
Step 2.3
Multiply by by adding the exponents.
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Step 2.3.1
Move .
Step 2.3.2
Multiply by .
Step 2.4
Rewrite using the commutative property of multiplication.
Step 2.5
Multiply by by adding the exponents.
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Step 2.5.1
Move .
Step 2.5.2
Multiply by .
Step 2.6
Rewrite using the commutative property of multiplication.
Step 2.7
Multiply by .
Step 2.8
Rewrite using the commutative property of multiplication.
Step 2.9
Multiply by by adding the exponents.
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Step 2.9.1
Move .
Step 2.9.2
Multiply by .
Step 2.10
Multiply by .
Step 3
Add and .
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Step 3.1
Move .
Step 3.2
Add and .
Step 4
Multiply by .
Step 5
Move .
Step 6
Move .
Step 7
Move .
Step 8
Reorder and .