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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x + 5 y

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

lo g_{8} (\frac{1}{8})

2 a^{2} + 8 ab - 3 a - 12 b

\frac{1}{x} \geq x

(2 - b) (1 + 2 b) + (1 + b) (b^{3} - 3 b)

- 13 x + 1 \leq - 25

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