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Popular >

factor z^2+12z+36

Solution

factor

z^{2} + 12 z + 36

Solution

(z + 6)^{2}

Solution steps

z^{2} + 12 z + 36

Rewrite in the form of

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

36 = 6^{2}

12 z = 2 z \cdot 6

= z^{2} + 2 z \cdot 6 + 6^{2}

Apply Perfect Square Formula:

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

z^{2} + 2 z \cdot 6 + 6^{2} = (z + 6)^{2}

= (z + 6)^{2}

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Frequently Asked Questions (FAQ)

What is factor z^2+12z+36 ?
The solution to factor z^2+12z+36 is (z+6)^2