What is (9y-3sqrt(5y+2))^2 ?

The solution to (9y-3sqrt(5y+2))^2 is 81y^2-54ysqrt(5y+2)+9(5y+2)

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simplify (9y-3sqrt(5y+2))^2

simplify

(9 y - 3 5 y + 2)^{2}

81 y^{2} - 54 y 5 y + 2 + 9 (5 y + 2)

Solution steps

(9 y - 3 5 y + 2)^{2}

Apply Perfect Square Formula:

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

(9 y - 3 5 y + 2)^{2} = (9 y)^{2} - 2 \cdot 9 y \cdot 3 5 y + 2 + (3 5 y + 2)^{2}

= (9 y)^{2} - 2 \cdot 9 y \cdot 3 5 y + 2 + (3 5 y + 2)^{2}

(9 y)^{2} = 81 y^{2}

- 2 \cdot 9 y \cdot 3 5 y + 2 = - 54 y 5 y + 2

(3 5 y + 2)^{2} = 9 (5 y + 2)

= 81 y^{2} - 54 y 5 y + 2 + 9 (5 y + 2)

(4 - x)^{2}

(e^{2 t} + 2 e^{t})^{3}

a (3, - 2, 1) b (6, 1, - 2)

200 (1 - e^{- k (5)})

6 (- \frac{2}{3})^{4} + 2 (- \frac{2}{3})^{3} - 12 (- \frac{2}{3})^{2} + 3

What is (9y-3sqrt(5y+2))^2 ?
The solution to (9y-3sqrt(5y+2))^2 is 81y^2-54ysqrt(5y+2)+9(5y+2)