Trigonometry Examples

Simplify (8/(y-7))/(9/(y-8))+(5/(y-8))/(4/(y-7))
Step 1
Simplify each term.
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Step 1.1
Multiply the numerator by the reciprocal of the denominator.
Step 1.2
Multiply by .
Step 1.3
Move to the left of .
Step 1.4
Multiply the numerator by the reciprocal of the denominator.
Step 1.5
Multiply by .
Step 1.6
Move to the left of .
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
Multiply by .
Step 4.4
Multiply by .
Step 4.5
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
Apply the distributive property.
Step 6.2
Multiply by .
Step 6.3
Apply the distributive property.
Step 6.4
Multiply by .
Step 6.5
Expand using the FOIL Method.
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Step 6.5.1
Apply the distributive property.
Step 6.5.2
Apply the distributive property.
Step 6.5.3
Apply the distributive property.
Step 6.6
Simplify and combine like terms.
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Step 6.6.1
Simplify each term.
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Step 6.6.1.1
Rewrite using the commutative property of multiplication.
Step 6.6.1.2
Multiply by by adding the exponents.
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Step 6.6.1.2.1
Move .
Step 6.6.1.2.2
Multiply by .
Step 6.6.1.3
Multiply by .
Step 6.6.1.4
Multiply by .
Step 6.6.1.5
Multiply by .
Step 6.6.1.6
Multiply by .
Step 6.6.2
Subtract from .
Step 6.7
Apply the distributive property.
Step 6.8
Multiply by .
Step 6.9
Apply the distributive property.
Step 6.10
Multiply by .
Step 6.11
Expand using the FOIL Method.
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Step 6.11.1
Apply the distributive property.
Step 6.11.2
Apply the distributive property.
Step 6.11.3
Apply the distributive property.
Step 6.12
Simplify and combine like terms.
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Step 6.12.1
Simplify each term.
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Step 6.12.1.1
Rewrite using the commutative property of multiplication.
Step 6.12.1.2
Multiply by by adding the exponents.
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Step 6.12.1.2.1
Move .
Step 6.12.1.2.2
Multiply by .
Step 6.12.1.3
Multiply by .
Step 6.12.1.4
Multiply by .
Step 6.12.1.5
Multiply by .
Step 6.12.1.6
Multiply by .
Step 6.12.2
Subtract from .
Step 6.13
Add and .
Step 6.14
Subtract from .
Step 6.15
Add and .