What is factor z^2-18zy+81y^2 ?

The solution to factor z^2-18zy+81y^2 is (z-9y)^2

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factor z^2-18zy+81y^2

factor

z^{2} - 18 zy + 81 y^{2}

(z - 9 y)^{2}

Solution steps

z^{2} - 18 zy + 81 y^{2}

Rewrite in the form of

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

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

- 18 zy = - 2 z \cdot 9 y

= z^{2} - 2 z \cdot 9 y + (9 y)^{2}

Apply Perfect Square Formula:

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

z^{2} - 2 z \cdot 9 y + (9 y)^{2} = (z - 9 y)^{2}

= (z - 9 y)^{2}

\frac{8 ^{0} t ^{6} w u ^{6}}{t ^{2} w ^{4} u ^{6}}

- 15 \leq - 3 z \leq 12

7 (3 - x) \geq 35

2 e^{- 3}

∣ x + 1 ∣ < 0.5

What is factor z^2-18zy+81y^2 ?
The solution to factor z^2-18zy+81y^2 is (z-9y)^2