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

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

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

simplify

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

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

Solution steps

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

Factor

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

= \frac{( x + 7 ) ( x - 7 )}{x ^{2} - 14 x + 49}

Factor

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

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

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}

2 x^{3} - 3 x + 1

\frac{3}{2 x + 6} + \frac{4}{6 x + 18}

\frac{8}{5} \times 15

\frac{5 12 - 48}{2 3}

n! n!

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