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

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

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

simplify

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

\frac{b - 4}{b + 4}

Solution steps

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

Factor

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

= \frac{( b - 4 ) ^{2}}{b ^{2} - 16}

Factor

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

b - 4

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

lo g_{3} (54)

\frac{x - 4}{6 - 2 x} + 9 - 3 x

3.9

4 - 3

(5 + w) (w + 4)

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