Divide ((x^2-7x+10)/(x^2-8x+15))/((4-x^2)/(x^2+3x-18))

Math
Multiply the numerator by the reciprocal of the denominator.
Factor using the AC method.
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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 .
Write the factored form using these integers.
Factor using the AC method.
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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 .
Write the factored form using these integers.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Factor using the AC method.
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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 .
Write the factored form using these integers.
Simplify the denominator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply and .
Cancel the common factor of and .
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Factor out of .
Rewrite as .
Factor out of .
Reorder terms.
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Divide ((x^2-7x+10)/(x^2-8x+15))/((4-x^2)/(x^2+3x-18))

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