What is factor 144x^2+24x+1 ?

The solution to factor 144x^2+24x+1 is (12x+1)^2

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Factor 144x^2+24x+1

factor

144 x^{2} + 24 x + 1

(12 x + 1)^{2}

Solution steps

144 x^{2} + 24 x + 1

Rewrite in the form of

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

144 x^{2} = (12 x)^{2}

1 = 1^{2}

24 x = 2 \cdot 12 x \cdot 1

= (12 x)^{2} + 2 \cdot 12 x \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(12 x)^{2} + 2 \cdot 12 x \cdot 1 + 1^{2} = (12 x + 1)^{2}

= (12 x + 1)^{2}

x, 6 x - 4 = 0

\frac{5}{9 ( x - 32 )}

d, f = \frac{g + 6}{5 d}

24 x^{2}

(9 - 10 i) (- 8 + 3 i)