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

The solution to expand (2x^3y-3y)^2 is 4x^6y^2-12x^3y^2+9y^2

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expand (2x^3y-3y)^2

expand

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

4 x^{6} y^{2} - 12 x^{3} y^{2} + 9 y^{2}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(2 x^{3} y)^{2} - 2 \cdot 2 x^{3} y \cdot 3 y + (3 y)^{2} : 4 x^{6} y^{2} - 12 x^{3} y^{2} + 9 y^{2}

= 4 x^{6} y^{2} - 12 x^{3} y^{2} + 9 y^{2}

2.3 \cdot 1 0^{3}

(x + 7)^{4}

\frac{x ^{8} + x ^{4}}{2 x}

(- 1)^{34}

(6 x^{2} - 3 x + 10) - (- 6 x^{2} + 11 x + 9)

What is expand (2x^3y-3y)^2 ?
The solution to expand (2x^3y-3y)^2 is 4x^6y^2-12x^3y^2+9y^2