What is factor 1-8f+16f^2 ?

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

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factor 1-8f+16f^2

factor

1 - 8 f + 16 f^{2}

(4 f - 1)^{2}

Solution steps

1 - 8 f + 16 f^{2}

Write in the standard form

= 16 f^{2} - 8 f + 1

Rewrite in the form of

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

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

1 = 1^{2}

- 8 f = - 2 \cdot 4 f \cdot 1

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

Apply Perfect Square Formula:

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

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

= (4 f - 1)^{2}

8 (y + 3 z)

13 x

i^{- 527}

\frac{24 x ^{2}}{12 x ^{2} - 6 x}

(6 a - 7 b)^{2}