Basic Math Examples

Simplify (2b-1)(4b^2+2b+1)
Step 1
Expand by multiplying each term in the first expression by each term in the second expression.
Step 2
Simplify terms.
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Step 2.1
Combine the opposite terms in .
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Step 2.1.1
Reorder the factors in the terms and .
Step 2.1.2
Subtract from .
Step 2.1.3
Add and .
Step 2.2
Simplify each term.
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Step 2.2.1
Rewrite using the commutative property of multiplication.
Step 2.2.2
Multiply by by adding the exponents.
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Step 2.2.2.1
Move .
Step 2.2.2.2
Multiply by .
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Step 2.2.2.2.1
Raise to the power of .
Step 2.2.2.2.2
Use the power rule to combine exponents.
Step 2.2.2.3
Add and .
Step 2.2.3
Multiply by .
Step 2.2.4
Rewrite using the commutative property of multiplication.
Step 2.2.5
Multiply by by adding the exponents.
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Step 2.2.5.1
Move .
Step 2.2.5.2
Multiply by .
Step 2.2.6
Multiply by .
Step 2.2.7
Multiply by .
Step 2.2.8
Multiply by .
Step 2.3
Combine the opposite terms in .
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Step 2.3.1
Subtract from .
Step 2.3.2
Add and .