Simplify (z^2-3z+2)/(z^2+2z-3)

Math
z2-3z+2z2+2z-3
Factor z2-3z+2 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 2 and whose sum is -3.
-2,-1
Write the factored form using these integers.
(z-2)(z-1)z2+2z-3
(z-2)(z-1)z2+2z-3
Factor z2+2z-3 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 -3 and whose sum is 2.
-1,3
Write the factored form using these integers.
(z-2)(z-1)(z-1)(z+3)
(z-2)(z-1)(z-1)(z+3)
Cancel the common factor of z-1.
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Cancel the common factor.
(z-2)(z-1)(z-1)(z+3)
Rewrite the expression.
z-2z+3
z-2z+3
Simplify (z^2-3z+2)/(z^2+2z-3)

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