Finite Math Examples

Simplify ((y^2-16y+64)/(7y^2-56y))/((y^2-14y+48)/(35y^2))
Step 1
Multiply the numerator by the reciprocal of the denominator.
Step 2
Factor using the perfect square rule.
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Step 2.1
Rewrite as .
Step 2.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 2.3
Rewrite the polynomial.
Step 2.4
Factor using the perfect square trinomial rule , where and .
Step 3
Simplify terms.
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Step 3.1
Factor out of .
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Step 3.1.1
Factor out of .
Step 3.1.2
Factor out of .
Step 3.1.3
Factor out of .
Step 3.2
Cancel the common factor of .
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Step 3.2.1
Factor out of .
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 3.3
Multiply by .
Step 3.4
Cancel the common factor of and .
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Step 3.4.1
Factor out of .
Step 3.4.2
Cancel the common factors.
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Step 3.4.2.1
Cancel the common factor.
Step 3.4.2.2
Rewrite the expression.
Step 4
Factor using the AC method.
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Step 4.1
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 4.2
Write the factored form using these integers.
Step 5
Cancel the common factor of .
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Step 5.1
Cancel the common factor.
Step 5.2
Rewrite the expression.