What is factor (5x^2-10x+25)-25+1 ?

The solution to factor (5x^2-10x+25)-25+1 is 5(x-(5+2sqrt(5))/5)(x-(5-2sqrt(5))/5)

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factor (5x^2-10x+25)-25+1

factor

(5 x^{2} - 10 x + 25) - 25 + 1

5 (x - \frac{5 + 2 5}{5}) (x - \frac{5 - 2 5}{5})

Solution steps

(5 x^{2} - 10 x + 25) - 25 + 1

Remove parentheses:

(a) = a

= 5 x^{2} - 10 x + 25 - 25 + 1

Add/Subtract the numbers:

25 - 25 + 1 = 1

= 5 x^{2} - 10 x + 1

Rewrite as

= 5 (x^{2} - 2 x + \frac{1}{5})

Factor

x^{2} - 2 x + \frac{1}{5} : (x - \frac{2 + 5}{5}) (x - \frac{5 - 2}{5})

5 (x - \frac{2 + 5}{5}) (x - \frac{5 - 2}{5})

\frac{5 + 2}{5} = \frac{5 + 2 5}{5}

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

\frac{5 - 2}{5} = \frac{5 - 2 5}{5}

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

\frac{m ^{2} + 7 m - 18}{m + 2}

7^{- 2}

ab + b x + a y + x y

\frac{d}{d t} ((x) (3 x t^{2}))

\frac{d}{d t} ((x) (1 7^{t}))

What is factor (5x^2-10x+25)-25+1 ?
The solution to factor (5x^2-10x+25)-25+1 is 5(x-(5+2sqrt(5))/5)(x-(5-2sqrt(5))/5)