What is (-sqrt(y)+3)^2 ?

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

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simplify (-sqrt(y)+3)^2

simplify

(- y + 3)^{2}

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

(cos (2) (x - 1)) - 1

(1 + tan (x) + sec (x)) (1 + cot (x) - csc (x))

(h) (2 x + 2 h + 6 + 2 x + 3)

(4 - r^{2} + 9 - r^{2})^{2}