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

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

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factor 9y^2-24y+16

factor

9 y^{2} - 24 y + 16

(3 y - 4)^{2}

Solution steps

9 y^{2} - 24 y + 16

Rewrite in the form of

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

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

16 = 4^{2}

- 24 y = - 2 \cdot 3 y \cdot 4

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

Apply Perfect Square Formula:

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

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

= (3 y - 4)^{2}

5 (x + 2) + 4 x = 6 x + 1

\frac{- 12}{- 2}

6 x^{3} + 18 x^{2} - 8 x - 24

(3 t^{5})^{- 3}

x - 3 = 8