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Find the expression that make (x+3)/(x²-8x+12)-:(x+3)/(x²+3x-10)

User MTeck
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Final answer:

To find the expression that makes (x+3)/(x²-8x+12)-:(x+3)/(x²+3x-10), simplify the expression and find the common denominator.

Step-by-step explanation:

To find the expression that makes (x+3)/(x²-8x+12)-:(x+3)/(x²+3x-10), we need to simplify the expression and then find the common denominator. Let's start by simplifying the expression:

(x+3)/(x²-8x+12)-:(x+3)/(x²+3x-10)

We can rewrite the division as multiplication by the reciprocal:

(x+3)/(x²-8x+12) * (x²+3x-10)/(x+3)

Next, we can factor the denominators:

(x+3)/(x-6)(x-2) * (x-2)(x+5)/(x+3)

Now, we can cancel out the common factors:

(x+3)/(x-6) * (x+5)

The expression that makes the original expression equal to this simplified expression is (x+5)/(x-6).

User Varagrawal
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