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

The solution to (-3xy)^2(-2x^2y)^3 is -72x^8y^5

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simplify (-3xy)^2(-2x^2y)^3

simplify

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

- 72 x^{8} y^{5}

Solution steps

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

Simplify

(- 3 x y)^{2} : 9 x^{2} y^{2}

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

Simplify

(- 2 x^{2} y)^{3} : - 8 x^{6} y^{3}

= 9 x^{2} y^{2} (- 8 x^{6} y^{3})

Apply rule:

a (- b) = - ab

9 x^{2} y^{2} (- 8 x^{6} y^{3}) = - 9 x^{2} y^{2} \cdot 8 x^{6} y^{3}

= - 9 x^{2} y^{2} \cdot 8 x^{6} y^{3}

Multiply the numbers:

- 9 \cdot 8 = - 72

= - 72 x^{2} y^{2} x^{6} y^{3}

Simplify

x^{2} x^{6} : x^{8}

= - 72 x^{8} y^{2} y^{3}

Simplify

y^{2} y^{3} : y^{5}

= - 72 x^{8} y^{5}

\frac{x ^{2} - 8 x + 15}{x ^{2} - 5 x + 6}

34.46 + \frac{50}{40}

(2 + 5) (- 2 + 5 k)

- 14 \cdot 4

2 - 4 y - 7 y^{2} + 5 y^{2} + 5 + 4 y - 2 y