What is (2-3sqrt(x))^2 ?

The solution to (2-3sqrt(x))^2 is 4-12sqrt(x)+9x

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simplify (2-3sqrt(x))^2

simplify

(2 - 3 x)^{2}

4 - 12 x + 9 x

Solution steps

(2 - 3 x)^{2}

Apply Perfect Square Formula:

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

(2 - 3 x)^{2} = 2^{2} - 2 \cdot 2 \cdot 3 x + (3 x)^{2}

= 2^{2} - 2 \cdot 2 \cdot 3 x + (3 x)^{2}

2^{2} = 4

- 2 \cdot 2 \cdot 3 x = - 12 x

(3 x)^{2} = 9 x

= 4 - 12 x + 9 x

2 (ln (\frac{2}{3}) - 1)

A (- 3, 6) y B (5, - 8)

90 + 27

b^{\frac{1}{3}} (4 b^{\frac{2}{3}} - b^{\frac{8}{3}})

\frac{\partial}{\partial x} (3 e^{y}) + e^{y} (5 x + 3 y)