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

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

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factor 4b^2+12b+9

factor

4 b^{2} + 12 b + 9

(2 b + 3)^{2}

Solution steps

4 b^{2} + 12 b + 9

Rewrite in the form of

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

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

9 = 3^{2}

12 b = 2 \cdot 2 b \cdot 3

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

Apply Perfect Square Formula:

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

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

= (2 b + 3)^{2}

m^{4} - 256

4 n^{2} + 8 n + 3

3 w^{2} - 13 w = 10

b \cdot b

16 m^{2} - 24 mn + 9 n^{2}