What is factor 9x^2+3/2 x+1/16 ?

The solution to factor 9x^2+3/2 x+1/16 is (3x+1/4)^2

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factor 9x^2+3/2 x+1/16

factor

9 x^{2} + \frac{3}{2} x + \frac{1}{16}

(3 x + \frac{1}{4})^{2}

Solution steps

9 x^{2} + \frac{3}{2} x + \frac{1}{16}

Rewrite in the form of

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

9 x^{2} = (3 x)^{2}

\frac{1}{16} = (\frac{1}{4})^{2}

\frac{3 x}{2} = 2 \cdot 3 x \frac{1}{4}

= (3 x)^{2} + 2 \cdot 3 x \frac{1}{4} + (\frac{1}{4})^{2}

Apply Perfect Square Formula:

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

(3 x)^{2} + 2 \cdot 3 x \frac{1}{4} + (\frac{1}{4})^{2} = (3 x + \frac{1}{4})^{2}

= (3 x + \frac{1}{4})^{2}

(3 - 8 w^{2}) 2

\frac{4 - x ^{2}}{x ^{2} - 3 x + 2}

\frac{x ^{2} - 16}{x ^{2} + 6 x + 8}

(x + 1) 3

\frac{1}{x} - \frac{1}{3}

What is factor 9x^2+3/2 x+1/16 ?
The solution to factor 9x^2+3/2 x+1/16 is (3x+1/4)^2