Answer:
[tex]\text{The two rational expressions are }\frac{2-n}{n-4}and\frac{n-1}{n-4}[/tex]
Step-by-step explanation:
We have to give two rational expression that have the difference of given number i.e [tex]\frac{2-n}{n-4}[/tex]
To take easy we take the denominator of both the rational expression same
Let us take the two expression a and b in which one expression we take [tex]\frac{1}{n-4}[/tex]. Now, we have to find the second expression b so that the difference will be [tex]\frac{2-n}{n-4}[/tex] i.e
[tex]a-b=\frac{2-n}{n-4}[/tex]
⇒ [tex]\frac{1}{n-4}-b=\frac{2-n}{n-4}[/tex]
⇒ [tex]\frac{1}{n-4}-\frac{2-n}{n-4}=b[/tex]
⇒ [tex]b=\frac{1-2+n}{n-4}=\frac{n-1}{n-4}[/tex]
Hence, [tex]\text{the two rational expressions are }\frac{2-n}{n-4}and\frac{n-1}{n-4}[/tex]
