Trigonometry Examples

Subtract (2x+4)/(x+1)-(7x-1)/(x^2+4x+3)
Step 1
Simplify each term.
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Step 1.1
Factor out of .
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Step 1.1.1
Factor out of .
Step 1.1.2
Factor out of .
Step 1.1.3
Factor out of .
Step 1.2
Factor using the AC method.
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Step 1.2.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 1.2.2
Write the factored form using these integers.
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Simplify terms.
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Step 3.1
Multiply by .
Step 3.2
Combine the numerators over the common denominator.
Step 4
Simplify the numerator.
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Step 4.1
Apply the distributive property.
Step 4.2
Multiply by .
Step 4.3
Expand using the FOIL Method.
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Step 4.3.1
Apply the distributive property.
Step 4.3.2
Apply the distributive property.
Step 4.3.3
Apply the distributive property.
Step 4.4
Simplify and combine like terms.
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Step 4.4.1
Simplify each term.
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Step 4.4.1.1
Multiply by by adding the exponents.
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Step 4.4.1.1.1
Move .
Step 4.4.1.1.2
Multiply by .
Step 4.4.1.2
Multiply by .
Step 4.4.1.3
Multiply by .
Step 4.4.2
Add and .
Step 4.5
Apply the distributive property.
Step 4.6
Multiply by .
Step 4.7
Multiply by .
Step 4.8
Subtract from .
Step 4.9
Add and .