beljuA

2020-12-15

To calculate: The restriction on the variable for rational expression $\frac{6c}{7{a}^{3}{b}^{2}}$

ottcomn

Skilled2020-12-16Added 97 answers

The restriction on the variable for rational expression $\frac{6c}{7{a}^{3}{b}^{2}}\text{}are\text{}a\text{}\ne \text{}0\text{}and\text{}b\text{}\ne \text{}0.$

Given Information:

The provided rational expression is$\frac{6c}{7{a}^{3}{b}^{2}}.$

Formula used:

The standard form of rational expression is$\frac{p(x)}{q(x)}.$

Where, p (x) and q(x) are polynomial and$q(x)\text{}\ne \text{}0.$

Calculation:

Consider the rational expression,$\frac{6c}{7{a}^{3}{b}^{2}}.$

For the expression$\frac{6c}{7{a}^{3}{b}^{2}},\text{}if\text{}a=0$ were substituted for a, the denominator would be zero.

If$b=0$ were substituted for b, the denominator would be zero.

Hence, for this expression$\frac{6c}{7{a}^{3}{b}^{2}},\text{}a\text{}\ne \text{}0\text{}and\text{}b\text{}\ne \text{}0$

If, either a or b were zero. Then the product would be zero.

Therefore, the restriction on the variable for rational expression$\frac{6c}{7{a}^{3}{b}^{2}},\text{}are\text{}a\text{}\ne \text{}0\text{}and\text{}b\text{}\ne \text{}0.$

Given Information:

The provided rational expression is

Formula used:

The standard form of rational expression is

Where, p (x) and q(x) are polynomial and

Calculation:

Consider the rational expression,

For the expression

If

Hence, for this expression

If, either a or b were zero. Then the product would be zero.

Therefore, the restriction on the variable for rational expression

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