What is (2xy)^2(-3x^2)(4y^2) ?

The solution to (2xy)^2(-3x^2)(4y^2) is -48x^4y^4

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

simplify

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

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

Solution steps

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

Apply rule:

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}

Multiply the numbers:

3 \cdot 4 = 12

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

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

Simplify

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

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

Multiply the numbers:

- 12 \cdot 4 = - 48

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

Simplify

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

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

Simplify

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

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

(10 x y + 8 x^{2} z^{3}) - (6 y z^{2} + 3 yz)

(\frac{1}{32})^{\frac{2}{5}}

10 z^{2} - 11 z - 6 = 0

y - 13 > - 85

∣ x - 1 ∣ \geq 1

What is (2xy)^2(-3x^2)(4y^2) ?
The solution to (2xy)^2(-3x^2)(4y^2) is -48x^4y^4