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

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

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factor 1+10x+25x^2

factor

1 + 10 x + 25 x^{2}

(5 x + 1)^{2}

Solution steps

1 + 10 x + 25 x^{2}

Write in the standard form

= 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}

25 n^{4} - 16 n^{2}

x^{2} = - 49

2 x^{2} - 8 x = 0

\frac{12 x ^{- 5} y ^{3}}{3 ^{- 2} x ^{- 2} y ^{- 4}}