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

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

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factor 4a^2+12a+9

factor

4 a^{2} + 12 a + 9

(2 a + 3)^{2}

Solution steps

4 a^{2} + 12 a + 9

Rewrite in the form of

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

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

9 = 3^{2}

12 a = 2 \cdot 2 a \cdot 3

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

Apply Perfect Square Formula:

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

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

= (2 a + 3)^{2}

- 35 \cdot 20

3 - 2 x \geq 5 or 3 (x - 2) + 1 > 7

4 c^{2} - 16

- 4 x - 6 x - 23 = - 10 - 10 x - 9

49 p^{2} + 84 p + 36