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Popular >

simplify (sqrt(z)+3)^2

Solution

simplify

(z + 3)^{2}

Solution

z + 6 z + 9

Solution steps

(z + 3)^{2}

Apply Perfect Square Formula:

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

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

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

(z)^{2} = z

2 z \cdot 3 = 6 z

3^{2} = 9

= z + 6 z + 9

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Frequently Asked Questions (FAQ)

What is (sqrt(z)+3)^2 ?
The solution to (sqrt(z)+3)^2 is z+6sqrt(z)+9