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Popular >

simplify (x^2-10x+25)/(x-5)

Solution

simplify

\frac{x ^{2} - 10 x + 25}{x - 5}

Solution

x - 5

Solution steps

\frac{x ^{2} - 10 x + 25}{x - 5}

Factor

x^{2} - 10 x + 25 : (x - 5)^{2}

= \frac{( x - 5 ) ^{2}}{x - 5}

Apply exponent rule:

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

(x - 5)^{2} = (x - 5) (x - 5)

= \frac{( x - 5 ) ( x - 5 )}{x - 5}

Cancel the common factor:

x - 5

= x - 5

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Frequently Asked Questions (FAQ)

What is (x^2-10x+25)/(x-5) ?
The solution to (x^2-10x+25)/(x-5) is x-5