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Popular >

factor r^2-2r+1

Solution

factor

r^{2} - 2 r + 1

Solution

(r - 1)^{2}

Solution steps

r^{2} - 2 r + 1

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

1 = 1^{2}

- 2 r = - 2 r \cdot 1

= r^{2} - 2 r \cdot 1 + 1^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

r^{2} - 2 r \cdot 1 + 1^{2} = (r - 1)^{2}

= (r - 1)^{2}

Popular Examples

8x+1>-5\land 4x+1<= 17

8 x + 1 > - 5 and 4 x + 1 \leq 17

(x-2)/(x^2-9)<0

\frac{x - 2}{x ^{2} - 9} < 0

simplify 6^6 simplify

6^{6}

simplify (2a^7)/(6a^9)simplify

\frac{2 a ^{7}}{6 a ^{9}}

16 < x < 81

Frequently Asked Questions (FAQ)

What is factor r^2-2r+1 ?
The solution to factor r^2-2r+1 is (r-1)^2