Solve [-(3x^2y)5(3x - 2y)3]2(3x^2y)2(3x - 2y)4

Question

Simplify the expression

- 19440 x^{6} y^{2} + 25920 x^{5} y^{3} - 8640 x^{4} y^{4}

Evaluate

(- 3 x^{2} y \times 5 (3 x - 2 y) \times 3) \times 2 \times 3 x^{2} y \times 2 (3 x - 2 y) \times 4

Multiply the terms

More Steps

(- 45 x^{2} y (3 x - 2 y)) \times 2 \times 3 x^{2} y \times 2 (3 x - 2 y) \times 4

Remove the parentheses

- 45 x^{2} y (3 x - 2 y) \times 2 \times 3 x^{2} y \times 2 (3 x - 2 y) \times 4

Multiply the terms

More Steps

- 2160 x^{2} y (3 x - 2 y) x^{2} y (3 x - 2 y)

Multiply the terms with the same base by adding their exponents

- 2160 x^{2 + 2} y (3 x - 2 y) y (3 x - 2 y)

Add the numbers

- 2160 x^{4} y (3 x - 2 y) y (3 x - 2 y)

Multiply the terms

- 2160 x^{4} y^{2} (3 x - 2 y) (3 x - 2 y)

Multiply the terms

- 2160 x^{4} y^{2} (3 x - 2 y)^{2}

Expand the expression

More Steps

- 2160 x^{4} y^{2} (9 x^{2} - 12 x y + 4 y^{2})

Apply the distributive property

- 2160 x^{4} y^{2} \times 9 x^{2} - (- 2160 x^{4} y^{2} \times 12 x y) - 2160 x^{4} y^{2} \times 4 y^{2}

Multiply the terms

More Steps

- 19440 x^{6} y^{2} - (- 2160 x^{4} y^{2} \times 12 x y) - 2160 x^{4} y^{2} \times 4 y^{2}

Multiply the terms

More Steps

- 19440 x^{6} y^{2} - (- 25920 x^{5} y^{3}) - 2160 x^{4} y^{2} \times 4 y^{2}

Multiply the terms

More Steps

- 19440 x^{6} y^{2} - (- 25920 x^{5} y^{3}) - 8640 x^{4} y^{4}

Solution

- 19440 x^{6} y^{2} + 25920 x^{5} y^{3} - 8640 x^{4} y^{4}

Show Solution