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

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

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factor 25x^2+10x+1

factor

25 x^{2} + 10 x + 1

(5 x + 1)^{2}

Solution steps

25 x^{2} + 10 x + 1

Rewrite in the form of

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

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

1 = 1^{2}

10 x = 2 \cdot 5 x \cdot 1

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

Apply Perfect Square Formula:

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

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

= (5 x + 1)^{2}

(x + y) (x - y)

x + 2 = - 4

5 x - 9 = - 3 x - 12 + 5 x

- 5 x + 2 x + 2 = 4 - 2 - 3 x