What is (x^2-25)/(25)*5/((x+5)^2) ?

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

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simplify (x^2-25)/(25)*5/((x+5)^2)

simplify

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

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

Solution steps

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

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Factor the number:

25 = 5 \cdot 5

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

Cancel the common factor:

5

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

Factor

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

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

Cancel the common factor:

x + 5

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

(3 x + 4) (3 x - 10)

3 x (x + 1)

e^{\frac{- 1}{2}}

45 d^{10}

- 400

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