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

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

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factor 16z^2-24z+9

factor

16 z^{2} - 24 z + 9

(4 z - 3)^{2}

Solution steps

16 z^{2} - 24 z + 9

Rewrite in the form of

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

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

9 = 3^{2}

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

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

Apply Perfect Square Formula:

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

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

= (4 z - 3)^{2}

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tan (θ) sin (θ) + cos (θ)