What is (x^2-14x+49)/(x^2-49) ?

The solution to (x^2-14x+49)/(x^2-49) is (x-7)/(x+7)

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simplify (x^2-14x+49)/(x^2-49)

simplify

\frac{x ^{2} - 14 x + 49}{x ^{2} - 49}

\frac{x - 7}{x + 7}

Solution steps

\frac{x ^{2} - 14 x + 49}{x ^{2} - 49}

Factor

x^{2} - 14 x + 49 : (x - 7)^{2}

= \frac{( x - 7 ) ^{2}}{x ^{2} - 49}

Factor

x^{2} - 49 : (x + 7) (x - 7)

= \frac{( x - 7 ) ^{2}}{( x + 7 ) ( x - 7 )}

Apply exponent rule:

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

(x - 7)^{2} = (x - 7) (x - 7)

= \frac{( x - 7 ) ( x - 7 )}{( x + 7 ) ( x - 7 )}

Cancel the common factor:

x - 7

= \frac{x - 7}{x + 7}

- \frac{7 π}{3} + 2 π

2.3 \cdot 1 0^{2}

8 x - 6 w + 14

- \frac{5}{2 ^{6}}

What is (x^2-14x+49)/(x^2-49) ?
The solution to (x^2-14x+49)/(x^2-49) is (x-7)/(x+7)