What is (x^2-16)/(x^2-8x+16) ?

The solution to (x^2-16)/(x^2-8x+16) is (x+4)/(x-4)

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simplify (x^2-16)/(x^2-8x+16)

simplify

\frac{x ^{2} - 16}{x ^{2} - 8 x + 16}

\frac{x + 4}{x - 4}

Solution steps

\frac{x ^{2} - 16}{x ^{2} - 8 x + 16}

Factor

x^{2} - 16 : (x + 4) (x - 4)

= \frac{( x + 4 ) ( x - 4 )}{x ^{2} - 8 x + 16}

Factor

x^{2} - 8 x + 16 : (x - 4)^{2}

= \frac{( x + 4 ) ( x - 4 )}{( x - 4 ) ^{2}}

Apply exponent rule:

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

(x - 4)^{2} = (x - 4) (x - 4)

= \frac{( x + 4 ) ( x - 4 )}{( x - 4 ) ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{x + 4}{x - 4}

(m - n^{2}) (am - an - 3)

\frac{1}{6} \div \frac{1}{3}

50 x^{5}

\frac{3}{2 5}

(4 a - 3) (4 a + 10)

What is (x^2-16)/(x^2-8x+16) ?
The solution to (x^2-16)/(x^2-8x+16) is (x+4)/(x-4)