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

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

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

simplify

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

\frac{x - 5}{x + 5}

Solution steps

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

Factor

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

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

Factor

x^{2} + 10 x + 25 : (x + 5)^{2}

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

Apply exponent rule:

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

(x + 5)^{2} = (x + 5) (x + 5)

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

Cancel the common factor:

x + 5

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

\frac{x ^{- 1}}{4 x ^{4}}

2.2 3

(x - 5) (x - 4)

\frac{2 x}{x}

1 \times (- 1)

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