What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12? (6 points)
2 answers:
Step 1 is to factor everything!
After factoring you will get:
x-5 over (x+2)(x+5) times x+4 over (x-3)(x+4)
Step 2 is to remove the duplicate factors!
Remove x+4 and x+5
x-5 over (x+2)(x-5) times 1 over x-3 = 1 over x+2 times 1 over x-3
Step 3 is to multiply the numerators and the denominators.
End result is 1 over (x+2)(x-3)
Answer: Our simplified form will be
Step-by-step explanation:
Since we have given that
So, first we split the middle term of the denominator ,
Similarly,
Now, we put in our expression above:
Hence, our simplified form will be
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