Basic Math Examples

Factor ((z-2)^2)/4+((q-3)^2)/6
Step 1
To write as a fraction with a common denominator, multiply by .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.1
Multiply by .
Step 3.2
Multiply by .
Step 3.3
Multiply by .
Step 3.4
Multiply by .
Step 4
Combine the numerators over the common denominator.
Step 5
Rewrite in a factored form.
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Step 5.1
Rewrite as .
Step 5.2
Expand using the FOIL Method.
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Step 5.2.1
Apply the distributive property.
Step 5.2.2
Apply the distributive property.
Step 5.2.3
Apply the distributive property.
Step 5.3
Simplify and combine like terms.
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Step 5.3.1
Simplify each term.
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Step 5.3.1.1
Multiply by .
Step 5.3.1.2
Move to the left of .
Step 5.3.1.3
Multiply by .
Step 5.3.2
Subtract from .
Step 5.4
Apply the distributive property.
Step 5.5
Simplify.
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Step 5.5.1
Move to the left of .
Step 5.5.2
Multiply by .
Step 5.5.3
Multiply by .
Step 5.6
Rewrite as .
Step 5.7
Expand using the FOIL Method.
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Step 5.7.1
Apply the distributive property.
Step 5.7.2
Apply the distributive property.
Step 5.7.3
Apply the distributive property.
Step 5.8
Simplify and combine like terms.
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Step 5.8.1
Simplify each term.
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Step 5.8.1.1
Multiply by .
Step 5.8.1.2
Move to the left of .
Step 5.8.1.3
Multiply by .
Step 5.8.2
Subtract from .
Step 5.9
Apply the distributive property.
Step 5.10
Simplify.
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Step 5.10.1
Move to the left of .
Step 5.10.2
Multiply by .
Step 5.10.3
Multiply by .
Step 5.11
Add and .