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Popular >

simplify (x^2-14x+49)/(x-7)

Solution

simplify

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

Solution

x - 7

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 7

= x - 7

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Frequently Asked Questions (FAQ)

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