What is expand (3xy-2x)^2 ?

The solution to expand (3xy-2x)^2 is 9x^2y^2-12x^2y+4x^2

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expand (3xy-2x)^2

expand

(3 x y - 2 x)^{2}

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

Solution steps

(3 x y - 2 x)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(3 x y)^{2} - 2 \cdot 3 x y \cdot 2 x + (2 x)^{2} : 9 x^{2} y^{2} - 12 x^{2} y + 4 x^{2}

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

(\frac{1}{x} + \frac{1}{c})^{2}

- 10 (- 2 p + 10) - 4 p

5 z^{2} + 3 z + 8 z^{2}

\frac{( 6 y ^{3} ) ^{4}}{2 y ^{7}}

- 512 + 2147

What is expand (3xy-2x)^2 ?
The solution to expand (3xy-2x)^2 is 9x^2y^2-12x^2y+4x^2