Pre-Algebra Examples

Simplify -z^3(9-z)+4z(2+3z)
Step 1
Simplify each term.
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Step 1.1
Apply the distributive property.
Step 1.2
Multiply by .
Step 1.3
Rewrite using the commutative property of multiplication.
Step 1.4
Simplify each term.
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Step 1.4.1
Multiply by by adding the exponents.
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Step 1.4.1.1
Move .
Step 1.4.1.2
Multiply by .
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Step 1.4.1.2.1
Raise to the power of .
Step 1.4.1.2.2
Use the power rule to combine exponents.
Step 1.4.1.3
Add and .
Step 1.4.2
Multiply by .
Step 1.4.3
Multiply by .
Step 1.5
Apply the distributive property.
Step 1.6
Multiply by .
Step 1.7
Rewrite using the commutative property of multiplication.
Step 1.8
Simplify each term.
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Step 1.8.1
Multiply by by adding the exponents.
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Step 1.8.1.1
Move .
Step 1.8.1.2
Multiply by .
Step 1.8.2
Multiply by .
Step 2
Simplify the expression.
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Step 2.1
Move .
Step 2.2
Reorder and .