Which expression is equivalent to
48
x
2
y
12
x
y
2
? Assume that the denominator does not equal zero.
A.
4
x
y
B.
x
y
4
C.
4
y
x
D.
y^10x
To determine which expression is equivalent to the given expression, we can simplify it.
The given expression is:
48 * x^2 * y / (12 * x * y^2)
First, we can simplify the numerator and the denominator separately:
Numerator:
48 * x^2 * y = 48xy * x = 48xy^2
(We multiplied x^2 and y together)
Denominator:
12 * x * y^2 = 12xy * y = 12xy^2
(We multiplied x and y^2 together)
Now we can rewrite the expression as:
48xy^2 / 12xy^2
Next, we can simplify by canceling out the common terms in the numerator and denominator:
(48/12) * (xy^2/xy^2) = 4 * 1 = 4
Therefore, the equivalent expression is:
4xy
So the answer is A.
A. 4xy