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

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

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factor 25p^2-10p+1

factor

25 p^{2} - 10 p + 1

(5 p - 1)^{2}

Solution steps

25 p^{2} - 10 p + 1

Rewrite in the form of

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

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

1 = 1^{2}

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

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

Apply Perfect Square Formula:

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

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

= (5 p - 1)^{2}

10 x - 9 > 3 x + 5

x + 6 = 18

\frac{x - 5}{x + 3} \geq 0

\frac{( 2 + 3 i ) ( 3 - 2 i ) - ( 2 - 3 i ) ^{2}}{17 ( 1 - i ^{13} )}

5 a^{2} - 45 b^{2}