Algebra Examples

Simplify 5/b-7/9+6/(b^2)
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
Reorder the factors of .
Step 4
Combine the numerators over the common denominator.
Step 5
Multiply by .
Step 6
To write as a fraction with a common denominator, multiply by .
Step 7
To write as a fraction with a common denominator, multiply by .
Step 8
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 8.1
Multiply by .
Step 8.2
Raise to the power of .
Step 8.3
Raise to the power of .
Step 8.4
Use the power rule to combine exponents.
Step 8.5
Add and .
Step 8.6
Multiply by .
Step 8.7
Reorder the factors of .
Step 9
Combine the numerators over the common denominator.
Step 10
Simplify the numerator.
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Step 10.1
Apply the distributive property.
Step 10.2
Multiply by by adding the exponents.
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Step 10.2.1
Move .
Step 10.2.2
Multiply by .
Step 10.3
Multiply by .
Step 10.4
Reorder terms.
Step 11
Simplify with factoring out.
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Step 11.1
Factor out of .
Step 11.2
Factor out of .
Step 11.3
Factor out of .
Step 11.4
Rewrite as .
Step 11.5
Factor out of .
Step 11.6
Simplify the expression.
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Step 11.6.1
Rewrite as .
Step 11.6.2
Move the negative in front of the fraction.