Basic Math Examples

Simplify (2a-b+12c-4d)(2a-b-12c+4d)
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
Simplify each term.
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Step 2.1.1
Rewrite using the commutative property of multiplication.
Step 2.1.2
Multiply by by adding the exponents.
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Step 2.1.2.1
Move .
Step 2.1.2.2
Multiply by .
Step 2.1.3
Multiply by .
Step 2.1.4
Rewrite using the commutative property of multiplication.
Step 2.1.5
Multiply by .
Step 2.1.6
Rewrite using the commutative property of multiplication.
Step 2.1.7
Multiply by .
Step 2.1.8
Rewrite using the commutative property of multiplication.
Step 2.1.9
Multiply by .
Step 2.1.10
Rewrite using the commutative property of multiplication.
Step 2.1.11
Multiply by .
Step 2.1.12
Rewrite using the commutative property of multiplication.
Step 2.1.13
Multiply by by adding the exponents.
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Step 2.1.13.1
Move .
Step 2.1.13.2
Multiply by .
Step 2.1.14
Multiply by .
Step 2.1.15
Multiply by .
Step 2.1.16
Rewrite using the commutative property of multiplication.
Step 2.1.17
Multiply by .
Step 2.1.18
Rewrite using the commutative property of multiplication.
Step 2.1.19
Multiply by .
Step 2.1.20
Rewrite using the commutative property of multiplication.
Step 2.1.21
Multiply by .
Step 2.1.22
Rewrite using the commutative property of multiplication.
Step 2.1.23
Multiply by .
Step 2.1.24
Rewrite using the commutative property of multiplication.
Step 2.1.25
Multiply by by adding the exponents.
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Step 2.1.25.1
Move .
Step 2.1.25.2
Multiply by .
Step 2.1.26
Multiply by .
Step 2.1.27
Rewrite using the commutative property of multiplication.
Step 2.1.28
Multiply by .
Step 2.1.29
Rewrite using the commutative property of multiplication.
Step 2.1.30
Multiply by .
Step 2.1.31
Rewrite using the commutative property of multiplication.
Step 2.1.32
Multiply by .
Step 2.1.33
Rewrite using the commutative property of multiplication.
Step 2.1.34
Multiply by .
Step 2.1.35
Rewrite using the commutative property of multiplication.
Step 2.1.36
Multiply by by adding the exponents.
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Step 2.1.36.1
Move .
Step 2.1.36.2
Multiply by .
Step 2.1.37
Multiply by .
Step 2.2
Combine the opposite terms in .
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Step 2.2.1
Reorder the factors in the terms and .
Step 2.2.2
Add and .
Step 2.2.3
Add and .
Step 2.2.4
Reorder the factors in the terms and .
Step 2.2.5
Subtract from .
Step 2.2.6
Add and .
Step 2.2.7
Reorder the factors in the terms and .
Step 2.2.8
Subtract from .
Step 2.2.9
Add and .
Step 2.2.10
Reorder the factors in the terms and .
Step 2.2.11
Add and .
Step 2.2.12
Add and .
Step 3
Subtract from .
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Step 3.1
Move .
Step 3.2
Subtract from .
Step 4
Add and .
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Step 4.1
Move .
Step 4.2
Add and .