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

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

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factor 16w^2+24w+9

factor

16 w^{2} + 24 w + 9

(4 w + 3)^{2}

Solution steps

16 w^{2} + 24 w + 9

Rewrite in the form of

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

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

9 = 3^{2}

24 w = 2 \cdot 4 w \cdot 3

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

Apply Perfect Square Formula:

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

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

= (4 w + 3)^{2}

64 - x = 80 - 3 x

3 (3 + 2 i) - 2 (- 2 - 5 i)

16 d^{3} f - 64 d^{2} f + 48 df

\frac{1}{\frac{1}{2} + \frac{1}{5}}

\frac{1.2 \cdot 1 0 ^{25}}{6.02 \cdot 1 0 ^{23}}