What is factor 9+12x+4x^2 ?

The solution to factor 9+12x+4x^2 is (2x+3)^2

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factor 9+12x+4x^2

factor

9 + 12 x + 4 x^{2}

(2 x + 3)^{2}

Solution steps

9 + 12 x + 4 x^{2}

Write in the standard form

= 4 x^{2} + 12 x + 9

Rewrite in the form of

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

4 x^{2} = (2 x)^{2}

9 = 3^{2}

12 x = 2 \cdot 2 x \cdot 3

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

Apply Perfect Square Formula:

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

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

= (2 x + 3)^{2}

lo g_{4} (\frac{1}{128})

x^{5} - 3 x^{4} - 16 x + 48

\frac{4}{7} \div \frac{1}{3}

20 x^{2} + 45

1. 3^{2}