What is factor 16y^2+24y+9 ?

The solution to factor 16y^2+24y+9 is (4y+3)^2

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factor 16y^2+24y+9

factor

16 y^{2} + 24 y + 9

(4 y + 3)^{2}

Solution steps

16 y^{2} + 24 y + 9

Rewrite in the form of

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

16 y^{2} = (4 y)^{2}

9 = 3^{2}

24 y = 2 \cdot 4 y \cdot 3

= (4 y)^{2} + 2 \cdot 4 y \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

(4 y)^{2} + 2 \cdot 4 y \cdot 3 + 3^{2} = (4 y + 3)^{2}

= (4 y + 3)^{2}

(- 4 - 3 n) \cdot (- 8)

27 x^{5} - 75 x

\frac{4 16}{16}