If applicable, click on "Cannot be simplified

Ask by Fitzgerald Ortega. in the United States

Dec 05,2024

Question

If applicable, click on "Cannot be simplified $$ \begin{array}{l}\frac{y-3}{-3+y}=\square \ \frac{6 y+5}{5 y+6}=\square\end{array} $$

UpStudy AI · Accepted Answer

To simplify the given expressions, we need to look at the numerator and the denominator and see if there are any common factors that can be cancelled out. Let's start with the first expression:

$$ \frac{y-3}{-3+y} $$

Notice that the numerator and the denominator are almost the same, except for the sign. We can rewrite the denominator to make it match the numerator:

$$ \frac{y-3}{-3+y} = \frac{y-3}{-(y-3)} $$

Now we can cancel out the common factor of $$ y-3 $$:

$$ \frac{y-3}{-(y-3)} = -1 $$

So the simplified form of the first expression is $$ -1 $$.

Now let's look at the second expression:

$$ \frac{6y+5}{5y+6} $$

This expression does not have any common factors that can be cancelled out, so it cannot be simplified further. Therefore, the second expression remains as it is:

$$ \frac{6y+5}{5y+6} $$

In summary:

$$ \frac{y-3}{-3+y} = -1 $$

$$ \frac{6y+5}{5y+6} = \frac{6y+5}{5y+6} $$ (Cannot be simplified)
$$ \frac{y-3}{-3+y} = -1 $$ $$ \frac{6y+5}{5y+6} = \frac{6y+5}{5y+6} $$ (Cannot be simplified)

If applicable, click on "Cannot be simplified

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