What is (r^2-25)/(r^2-10r+25) ?

The solution to (r^2-25)/(r^2-10r+25) is (r+5)/(r-5)

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simplify (r^2-25)/(r^2-10r+25)

simplify

\frac{r ^{2} - 25}{r ^{2} - 10 r + 25}

\frac{r + 5}{r - 5}

Solution steps

\frac{r ^{2} - 25}{r ^{2} - 10 r + 25}

Factor

r^{2} - 25 : (r + 5) (r - 5)

= \frac{( r + 5 ) ( r - 5 )}{r ^{2} - 10 r + 25}

Factor

r^{2} - 10 r + 25 : (r - 5)^{2}

= \frac{( r + 5 ) ( r - 5 )}{( r - 5 ) ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(r - 5)^{2} = (r - 5) (r - 5)

= \frac{( r + 5 ) ( r - 5 )}{( r - 5 ) ( r - 5 )}

Cancel the common factor:

r - 5

= \frac{r + 5}{r - 5}

28 \times 2

2 (5) + w

\frac{4 s ^{3} + 32 s ^{2} + 28 s - 28}{4}

3 \times 15

7 \times 14

What is (r^2-25)/(r^2-10r+25) ?
The solution to (r^2-25)/(r^2-10r+25) is (r+5)/(r-5)