What is factor 25m^2+10m+1 ?

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

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factor 25m^2+10m+1

factor

25 m^{2} + 10 m + 1

(5 m + 1)^{2}

Solution steps

25 m^{2} + 10 m + 1

Rewrite in the form of

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

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

1 = 1^{2}

10 m = 2 \cdot 5 m \cdot 1

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

Apply Perfect Square Formula:

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

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

= (5 m + 1)^{2}

\frac{m ^{2} - 100}{m - 10}

\frac{3}{2} \cdot 3

\frac{5 + i}{1 - 3 i}

\frac{( 2 + 3 i )}{( - 4 - 2 i )}

5 x^{2} - 16 x - 16