Divide. Start Fraction left-parenthesis Start Fraction x squared plus 6 x plus 9 over x minus 1 End Fraction right-parenthesis over left-parenthesis Start Fraction x squared minus 9 over x squared minus 2 x plus 1 End Fraction right-parenthesis End Fraction
A. Start Fraction left-parenthesis lower x plus 3 right-parenthesis left-parenthesis lower x minus 1 right-parenthesis over lower x minus 3 End Fraction
B. Start Fraction left-parenthesis lower x minus 3 right-parenthesis left-parenthesis lower x plus 1 right-parenthesis over lower x plus 3 End Fraction
C. Start Fraction left-parenthesis lower x plus 3 right-parenthesis left-parenthesis lower x plus 1 right-parenthesis over lower x minus 3 End Fraction
D. Start Fraction left-parenthesis lower x minus 3 right-parenthesis left-parenthesis lower x minus 1 right-parenthesis over lower x plus 3 End Fraction
hjhekqcjrekkj
dang
i <3 harry styles
I'll help, if you jettison all that word noise and just type your math expressions.
21
Donna cause I am dumb
Forgot I am as dumb as hell
dadduy
To divide the given expression, we need to simplify the fraction.
The numerator of the fraction is a quadratic expression, x^2 + 6x + 9, and the denominator is a linear expression, x - 1. To simplify the numerator, we can factorize the quadratic expression:
x^2 + 6x + 9 = (x + 3)(x + 3) = (x + 3)^2
Now, let's simplify the denominator. The denominator is also a quadratic expression, x^2 - 9. We can factorize it using the difference of squares formula:
x^2 - 9 = (x - 3)(x + 3)
Now, we can rewrite the expression as:
[(x + 3)^2 / (x - 1)] / [(x - 3)(x + 3) / (x^2 - 2x + 1)]
Next, we invert the second fraction and multiply it by the first fraction:
[(x + 3)^2 / (x - 1)] * [(x^2 - 2x + 1) / (x - 3)(x + 3)]
Now, we can cancel out the common factors between the numerator and the denominator:
[(x + 3)(x - 1) / 1] * [1 / (x - 3)(x + 3)]
Simplifying further, we can cancel out (x + 3) from the numerator and the denominator:
(x - 1) / (x - 3)
Therefore, the simplified expression is:
(x - 1) / (x - 3)
So, the answer is A. Start Fraction (x - 1) / (x - 3) End Fraction.