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Popular >

factor z^2+4z+4

Solution

factor

z^{2} + 4 z + 4

Solution

(z + 2)^{2}

Solution steps

z^{2} + 4 z + 4

Rewrite in the form of

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

4 = 2^{2}

4 z = 2 z \cdot 2

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

Apply Perfect Square Formula:

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

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

= (z + 2)^{2}

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Frequently Asked Questions (FAQ)

What is factor z^2+4z+4 ?
The solution to factor z^2+4z+4 is (z+2)^2