Trigonometry Examples

Simplify (x^2-23)/(2x^5-5x-3)+-1/(2x+1)
Step 1
Move the negative in front of the fraction.
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
To write as a fraction with a common denominator, multiply by .
Step 4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 4.1
Multiply by .
Step 4.2
Multiply by .
Step 4.3
Reorder the factors of .
Step 5
Combine the numerators over the common denominator.
Step 6
Simplify the numerator.
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Step 6.1
Expand using the FOIL Method.
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Step 6.1.1
Apply the distributive property.
Step 6.1.2
Apply the distributive property.
Step 6.1.3
Apply the distributive property.
Step 6.2
Simplify each term.
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Step 6.2.1
Rewrite using the commutative property of multiplication.
Step 6.2.2
Multiply by by adding the exponents.
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Step 6.2.2.1
Move .
Step 6.2.2.2
Multiply by .
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Step 6.2.2.2.1
Raise to the power of .
Step 6.2.2.2.2
Use the power rule to combine exponents.
Step 6.2.2.3
Add and .
Step 6.2.3
Multiply by .
Step 6.2.4
Multiply by .
Step 6.2.5
Multiply by .
Step 6.3
Apply the distributive property.
Step 6.4
Simplify.
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Step 6.4.1
Multiply by .
Step 6.4.2
Multiply by .
Step 6.4.3
Multiply by .
Step 6.5
Add and .
Step 6.6
Add and .
Step 6.7
Reorder terms.
Step 7
Simplify with factoring out.
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Step 7.1
Factor out of .
Step 7.2
Factor out of .
Step 7.3
Factor out of .
Step 7.4
Factor out of .
Step 7.5
Factor out of .
Step 7.6
Factor out of .
Step 7.7
Factor out of .
Step 7.8
Rewrite as .
Step 7.9
Factor out of .
Step 7.10
Simplify the expression.
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Step 7.10.1
Rewrite as .
Step 7.10.2
Move the negative in front of the fraction.