Pre-Algebra Examples

Simplify (x-3)(x-2)-(x-2)(1-x)+(1-x)
Step 1
Remove parentheses.
Step 2
Simplify each term.
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Step 2.1
Expand using the FOIL Method.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Apply the distributive property.
Step 2.1.3
Apply the distributive property.
Step 2.2
Simplify and combine like terms.
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Step 2.2.1
Simplify each term.
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Step 2.2.1.1
Multiply by .
Step 2.2.1.2
Move to the left of .
Step 2.2.1.3
Multiply by .
Step 2.2.2
Subtract from .
Step 2.3
Apply the distributive property.
Step 2.4
Multiply by .
Step 2.5
Expand using the FOIL Method.
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Step 2.5.1
Apply the distributive property.
Step 2.5.2
Apply the distributive property.
Step 2.5.3
Apply the distributive property.
Step 2.6
Simplify and combine like terms.
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Step 2.6.1
Simplify each term.
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Step 2.6.1.1
Multiply by .
Step 2.6.1.2
Rewrite using the commutative property of multiplication.
Step 2.6.1.3
Multiply by by adding the exponents.
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Step 2.6.1.3.1
Move .
Step 2.6.1.3.2
Multiply by .
Step 2.6.1.4
Multiply by .
Step 2.6.1.5
Multiply by .
Step 2.6.1.6
Multiply by .
Step 2.6.1.7
Multiply by .
Step 2.6.2
Subtract from .
Step 3
Simplify by adding terms.
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Step 3.1
Add and .
Step 3.2
Subtract from .
Step 3.3
Subtract from .
Step 3.4
Simplify by adding numbers.
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Step 3.4.1
Add and .
Step 3.4.2
Add and .