What is factor 16k^2+8k+1 ?

The solution to factor 16k^2+8k+1 is (4k+1)^2

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factor 16k^2+8k+1

factor

16 k^{2} + 8 k + 1

(4 k + 1)^{2}

Solution steps

16 k^{2} + 8 k + 1

Rewrite in the form of

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

16 k^{2} = (4 k)^{2}

1 = 1^{2}

8 k = 2 \cdot 4 k \cdot 1

= (4 k)^{2} + 2 \cdot 4 k \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(4 k)^{2} + 2 \cdot 4 k \cdot 1 + 1^{2} = (4 k + 1)^{2}

= (4 k + 1)^{2}

(- 98 + 96) - (87 - (- 13))

\frac{- 4 i - 1}{- 2 i}

2 (v - 3) - 5 v = - 3 (v + 3)

(7 - x) (3 x + 1) (x - 2) \leq 0

\frac{1}{1 - 5 i}