Pre-Algebra Examples

Simplify y^2-49÷((y^2+5y-14)/(y^2+7))
Step 1
Simplify each term.
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Step 1.1
To divide by a fraction, multiply by its reciprocal.
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 1.3
Combine and .
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
Expand using the FOIL Method.
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Step 4.1.1
Apply the distributive property.
Step 4.1.2
Apply the distributive property.
Step 4.1.3
Apply the distributive property.
Step 4.2
Simplify and combine like terms.
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Step 4.2.1
Simplify each term.
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Step 4.2.1.1
Multiply by .
Step 4.2.1.2
Move to the left of .
Step 4.2.1.3
Multiply by .
Step 4.2.2
Subtract from .
Step 4.3
Apply the distributive property.
Step 4.4
Simplify.
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Step 4.4.1
Multiply by by adding the exponents.
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Step 4.4.1.1
Use the power rule to combine exponents.
Step 4.4.1.2
Add and .
Step 4.4.2
Rewrite using the commutative property of multiplication.
Step 4.4.3
Move to the left of .
Step 4.5
Multiply by by adding the exponents.
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Step 4.5.1
Move .
Step 4.5.2
Multiply by .
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Step 4.5.2.1
Raise to the power of .
Step 4.5.2.2
Use the power rule to combine exponents.
Step 4.5.3
Add and .
Step 4.6
Apply the distributive property.
Step 4.7
Multiply by .
Step 4.8
Subtract from .