Question

what is the factors of numerator and denominator and simplified form of 9m+9n over 9r-9s​

Answer 1

Answer:

$\frac{9m + 9n}{9r - 9s} \\ = \frac{9(m + n)}{9(r - s)} \\ = \frac{m + n}{r - s}$

Answer 2

Given,

$\[F = \frac{{9m + 9n}}{{9r - 9s}}\]$

Solution,

Know that a number that divides another number completely with no remainder is known as a factor of that number.

So, the factor  $\[9m + 9n\]$ is

$\[\begin{array}{l} \Rightarrow 9m + 9n\\ \Rightarrow 9\left( {m + n} \right)\end{array}\]$

So, the factor $\[9r - 9s\]$ is

$\[\begin{array}{l} \Rightarrow 9r - 9s\\ \Rightarrow 9\left( {r - s} \right)\end{array}\]$

Therefore, the simplified form is

$\[\begin{array}{l} \Rightarrow \frac{{9m + 9n}}{{9r - 9s}}\\ \Rightarrow \frac{{9\left( {m + n} \right)}}{{9\left( {r - s} \right)}}\\ \Rightarrow \frac{{m + n}}{{r - s}}\end{array}\]$

Hence, the factors of numerator and denominator is $\[{9\left( {m + n} \right)}\]$ and $\[{9\left( {r - s} \right)}\]$ and the simplified form is $\[\frac{{m + n}}{{r - s}}.\]$