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Popular Álgebra >

simplificar (2xy)^2(-3x^2)(4y^2)

Solución

simplificar

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

Solución

- 48 x^{4} y^{4}

Pasos de solución

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

Aplicar la propiedad:

a (- b) = - ab

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

= - (2 x y)^{2} \cdot 3 x^{2} \cdot 4 y^{2}

Multiplicar los numeros:

3 \cdot 4 = 12

= - (2 x y)^{2} \cdot 12 x^{2} y^{2}

= - 12 (2 x y)^{2} x^{2} y^{2}

Simplificar

(2 x y)^{2} : 4 x^{2} y^{2}

= - 12 \cdot 4 x^{2} y^{2} x^{2} y^{2}

Multiplicar los numeros:

- 12 \cdot 4 = - 48

= - 48 x^{2} y^{2} x^{2} y^{2}

Simplificar

x^{2} x^{2} : x^{4}

= - 48 x^{4} y^{2} y^{2}

Simplificar

y^{2} y^{2} : y^{4}

= - 48 x^{4} y^{4}

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