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

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

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

simplify

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

\frac{y + 5}{y - 5}

Solution steps

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

Factor

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

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

Factor

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

y - 5

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

2 + 3 i - i (4 - 3 i)

640

(g - 2) (5 - h)

- 3 x \cdot x^{2}

- 5 (3 x - 1)

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