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

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

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factor 9w^2+24w+16

factor

9 w^{2} + 24 w + 16

(3 w + 4)^{2}

Solution steps

9 w^{2} + 24 w + 16

Rewrite in the form of

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

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

16 = 4^{2}

24 w = 2 \cdot 3 w \cdot 4

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

Apply Perfect Square Formula:

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

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

= (3 w + 4)^{2}

- 3 x^{- 2}

x^{4} + x^{3} - 3 x^{2} + 9 x - 108

(8^{- 8}) (8^{3})

e^{3}

- 4 (y - 2) = - 8