What is factor 1-10r+25r^2 ?

The solution to factor 1-10r+25r^2 is (5r-1)^2

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factor 1-10r+25r^2

factor

1 - 10 r + 25 r^{2}

(5 r - 1)^{2}

Solution steps

1 - 10 r + 25 r^{2}

Write in the standard form

= 25 r^{2} - 10 r + 1

Rewrite in the form of

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

25 r^{2} = (5 r)^{2}

1 = 1^{2}

- 10 r = - 2 \cdot 5 r \cdot 1

= (5 r)^{2} - 2 \cdot 5 r \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(5 r)^{2} - 2 \cdot 5 r \cdot 1 + 1^{2} = (5 r - 1)^{2}

= (5 r - 1)^{2}

\frac{2 x + 1}{8} + \frac{2 x - 1}{8}

\frac{1}{12} \div \frac{2}{3}

9.2 3 + 23 + 0.6 + 22

(1 + i) \times (1 - i)

\frac{20 x ^{6} y ^{5}}{8 x ^{6} y ^{6}}