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

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

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factor 9a^2+12a+4

factor

9 a^{2} + 12 a + 4

(3 a + 2)^{2}

Solution steps

9 a^{2} + 12 a + 4

Rewrite in the form of

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

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

4 = 2^{2}

12 a = 2 \cdot 3 a \cdot 2

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

Apply Perfect Square Formula:

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

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

= (3 a + 2)^{2}

\frac{3}{2} - \frac{3}{2}

2 x + 4 \leq - 4

381

- 3 x - 8 + 4 x = 17

lo g_{\frac{1}{2}} (\frac{1}{2})