Simplify (y^2-2y-35)/(y^2+14y+45)

Math
y2-2y-35y2+14y+45
Factor y2-2y-35 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -35 and whose sum is -2.
-7,5
Write the factored form using these integers.
(y-7)(y+5)y2+14y+45
(y-7)(y+5)y2+14y+45
Factor y2+14y+45 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 45 and whose sum is 14.
5,9
Write the factored form using these integers.
(y-7)(y+5)(y+5)(y+9)
(y-7)(y+5)(y+5)(y+9)
Cancel the common factor of y+5.
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Cancel the common factor.
(y-7)(y+5)(y+5)(y+9)
Rewrite the expression.
y-7y+9
y-7y+9
Simplify (y^2-2y-35)/(y^2+14y+45)

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