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Popular >

simplify (x^2-8x+16)/(x-4)

Solution

simplify

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

Solution

x - 4

Solution steps

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

Factor

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

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

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}

Cancel the common factor:

x - 4

= x - 4

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Frequently Asked Questions (FAQ)

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