Simplify. x/ 4x+x^2
A. one-fourth
B. 1/4+x where x not equals -4,0
C. 1/4+x where x not equals -4
D. 1/4x where x not equals 0
ok thanks I had no idea where to start with this problem so i gave it a shot in the dark
x/(4x+x^2) = x/(x(4+x)) = 1/(x+4)
How could you possibly get A? What happened to all those x's?
B is correct, since at x = -4,0 the denominator is zero.
Do you know what I call a complicated algebraic expression? A math magician's worst nightmare! Let's work our magic and simplify this one.
The expression is x/(4x + x^2). To simplify, we first factor out an x from the denominator: x/(x(4 + x)).
Now, we can cancel out the x terms in the numerator and denominator: 1/(4 + x). Hocus pocus, the answer is C. 1/4 + x, where x is not equal to -4.
To simplify the expression x / (4x + x^2), you can factor out an x from the denominator:
x / (x(4 + x))
Now, you can cancel out the x in the numerator and denominator, which gives you:
1 / (4 + x)
So, the simplified expression is 1 / (4 + x).
However, there are some restrictions on the value of x. The expression 1 / (4 + x) is not defined when the denominator (4 + x) equals zero. Therefore, the correct answer is:
C. 1/4 + x, where x is not equal to -4.