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Select the exclusion that fits best with this problem. 3x^2y^2-6xz/6x^2yz

Choices
x = 0
x, y, z = 0
1 + y + y^2, y = 0, 1 - y = 0
a, b = 0, a^2 + ab + b^2 = 0
2x - 1 = 0, 4x^2 + 2x + 1 = 0

Respuesta :

carlosego
For this case we have the following expression:
 3x ^ 2y ^ 2-6xz / 6x ^ 2yz
 From here, we must exclude all values that make the denominator equal to zero.
 We have then:
 6x ^ 2yz = 0
 Therefore, the results are:
 x = 0
 y = 0
 z = 0
 Answer:
 The exclusion that fits best with this problem is:
 x, y, z = 0

Answer:

Option B is correct .i.e., x , y , z = 0 must be excluded.

Step-by-step explanation:

Given Expression:

[tex]\frac{3x^2y^2-6xz}{6x^2yz}[/tex]

We have to find value of x , y and z which are to be excluded.

Value of variable of a expression are excluded for which expression does not exist.

Given expression is of fraction,

so, where denominator is going to be zero those value going to be excluded.

Here Denominator = 6x²yz

Denominator can not be equal to 0

So to find point where it become zero we put 6x²yz equal to 0

6x²yz = 0

⇒ x² = 0  or y = 0 or z = 0

Therefore, Option B is correct .i.e., x , y , z = 0 must be excluded.