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Popular >

simplify (sqrt(y)+3)^2

Solution

simplify

(y + 3)^{2}

Solution

y + 6 y + 9

Solution steps

(y + 3)^{2}

Apply Perfect Square Formula:

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

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

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

(y)^{2} = y

2 y \cdot 3 = 6 y

3^{2} = 9

= y + 6 y + 9

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Frequently Asked Questions (FAQ)

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