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}

\frac{( x - 2 )}{y} + \frac{( 3 y )}{x}

3 x^{\frac{1}{6}} \cdot 4 x^{\frac{- 7}{6}}

\frac{( - x ^{7} y ^{5} ) ^{2}}{( 3 x ^{3} y ^{2} ) ^{4}}

\frac{( b ) 2 ^{5}}{( 2 ^{- 6} )}

(2 x - y)^{2} - (y + 1)^{2}

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