(x^2 - 8x + 6)/(x + 2)
= x - 10 + ((26)/(x + 2))
No, I do not think so, suspect typo in numerator. It should be possible to factor.
There doesn't seem to be a typo in the original expression.
The answer is written with both the quotient and remainder.
To simplify the expression (x^2 - 8x + 6)/(x + 2), you can use the method of long division. Here's how you can do it step by step:
Step 1: Divide x into x^2.
x divided by x gives you x.
Step 2: Multiply x with x + 2, and write the result below the expression.
x * (x + 2) = x^2 + 2x
Step 3: Subtract the previous result from the original expression.
(x^2 - 8x + 6) - (x^2 + 2x) = -8x - 2x + 6
Step 4: Divide x into -8x.
-8x divided by x gives you -8.
Step 5: Multiply -8 with x + 2, and write the result below the previous result you obtained.
-8 * (x + 2) = -8x - 16
Step 6: Subtract the previous result from the expression you obtained in step 3.
(-8x - 2x + 6) - (-8x - 16) = -2x + 6 + 8x + 16
Step 7: Combine like terms.
-2x + 6 + 8x + 16 = 6x + 22
Step 8: Divide x into 6x.
6x divided by x gives you 6.
Step 9: Multiply 6 with x + 2 and write the result below the previous result.
6 * (x + 2) = 6x +12
Step 10: Subtract the previous result from the expression you obtained in step 7.
(6x + 22) - (6x + 12) = 10
The final result after long division is x - 8 + (10/(x + 2)), which can also be written as x - 10 + (26/(x + 2)).