Question

Which of the following is a valid exclusion for the algebraic fraction 8ab^2x/4a^2b-8ab^2

Answer 1

Answer:

Option (d) is a valid exclusion for the given  algebraic fraction

(d) a ≠ 0, b ≠ 0, a ≠ 2b

Step-by-step explanation:

   Given algebraic expression  $\frac{8ab^2x}{4a^2b-8ab^2}$

We have to find the conditions  which is valid exclusion for the algebraic fraction $\frac{8ab^2x}{4a^2b-8ab^2}$.

Consider , the given algebraic expression ,

$\frac{8ab^2x}{4a^2b-8ab^2}$

We first solve the given fraction in simplest form ,

Taking 4ab common from denominator, we get,

$\frac{8ab^2x}{4ab(a-2b)}$

Solving the fraction , we get,

$\frac{2bx}{(a-2b)}$

For the above fraction to be valid denominator has to be non zero, that is

$a-2b\neq 0\\\\\\ \Rightarrow a\neq 2b$

Thus, option (d) is a valid exclusion for the given  algebraic fraction