Basic Math Examples

Simplify (2k)/2-(5k+5)/(2k^2+4k)
Step 1
Simplify each term.
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Step 1.1
Cancel the common factor of .
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Step 1.1.1
Cancel the common factor.
Step 1.1.2
Divide by .
Step 1.2
Factor out of .
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Step 1.2.1
Factor out of .
Step 1.2.2
Factor out of .
Step 1.2.3
Factor out of .
Step 1.3
Factor out of .
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Step 1.3.1
Factor out of .
Step 1.3.2
Factor out of .
Step 1.3.3
Factor out of .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Simplify terms.
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Step 3.1
Combine and .
Step 3.2
Combine the numerators over the common denominator.
Step 4
Simplify the numerator.
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Step 4.1
Rewrite using the commutative property of multiplication.
Step 4.2
Multiply by by adding the exponents.
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Step 4.2.1
Move .
Step 4.2.2
Multiply by .
Step 4.3
Apply the distributive property.
Step 4.4
Multiply by by adding the exponents.
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Step 4.4.1
Move .
Step 4.4.2
Multiply by .
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Step 4.4.2.1
Raise to the power of .
Step 4.4.2.2
Use the power rule to combine exponents.
Step 4.4.3
Add and .
Step 4.5
Multiply by .
Step 4.6
Apply the distributive property.
Step 4.7
Multiply by .