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

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

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

simplify

(3 x - 2 x)^{2}

9 x^{2} - 12 x x + 4 x

Solution steps

(3 x - 2 x)^{2}

Apply Perfect Square Formula:

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

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

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

(3 x)^{2} = 9 x^{2}

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

(2 x)^{2} = 4 x

= 9 x^{2} - 12 x x + 4 x

(3 + 2)^{4}

m^{2} + 7 m - 5 m^{2} + m

\frac{x ^{2} + 3 x + 10}{( x - 2 ) ( x + 3 )}

(x + \frac{1}{2}) (y + \frac{1}{2})

(n + 1 - n)^{2}