Solve x^(2)*xy^(2)/5(3y-2x)⋅2(2x-3y)/x^(2) y^(2)

Question

Simplify the expression

- \frac{8 x ^{3} y ^{4} - 24 x ^{2} y ^{5} + 18 x y ^{6}}{5}

Evaluate

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

Remove the parentheses

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

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times \frac{y ^{2}}{5} (3 y - 2 x) \times 2 \times \frac{2 x - 3 y}{x ^{2}} \times y^{2}

Add the numbers

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

Multiply the terms

More Steps

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

Multiply the terms

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

Multiply the terms

More Steps

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

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

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

Solution

More Steps

- \frac{8 x ^{3} y ^{4} - 24 x ^{2} y ^{5} + 18 x y ^{6}}{5}

Show Solution

x = 0

Show Solution