Simplify. negative 12 times x to the fourth power over the quantity x to the fourth power plus 8 times x to the fifth power
A. negative 12 over the quantity 1 plus 8 times x, where x does not equal negative one eighth
B. negative 12 over the quantity 1 plus 8 times x, where x does not equal negative one eighth, 0
C. negative 12 over 9 times x, where x does not equal 0
D. negative 12 over 9
A. negative 12 over the quantity 1 plus 8 times x, where x does not equal negative one eighth
To simplify the expression "-12x^4 / (x^4 + 8x^5)", you can first factor out the common term "x^4" from the numerator and denominator:
-12x^4 / (x^4 + 8x^5) = -12x^4 / (x^4(1 + 8x))
Next, you can cancel out the common factor of "x^4" from the numerator and denominator:
-12 / (1 + 8x)
Therefore, the simplified expression is "-12 / (1 + 8x)".
The correct answer is A. negative 12 over the quantity 1 plus 8 times x, where x does not equal negative one eighth