What is (6x^3-6y-2xy^3)4x^4y^4 ?

The solution to (6x^3-6y-2xy^3)4x^4y^4 is 4x^4y^4(6x^3-2xy^3-6y)

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simplify (6x^3-6y-2xy^3)4x^4y^4

simplify

(6 x^{3} - 6 y - 2 x y^{3}) 4 x^{4} y^{4}

4 x^{4} y^{4} (6 x^{3} - 2 x y^{3} - 6 y)

Solution steps

(6 x^{3} - 6 y - 2 x y^{3}) \cdot 4 x^{4} y^{4}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{4} y^{4} = (x y)^{4}

= 4 (6 x^{3} - 2 x y^{3} - 6 y) (x y)^{4}

(x y)^{4} = x^{4} y^{4}

= 4 x^{4} y^{4} (6 x^{3} - 2 x y^{3} - 6 y)

2 e^{3 t} \cdot (- 2) e^{2 t}

e^{- 16.66} \cdot 16.6 6^{10}

e^{x^{2}} e^{2 x + 1}

e^{- 16.67}

e^{- \frac{7}{30}}

What is (6x^3-6y-2xy^3)4x^4y^4 ?
The solution to (6x^3-6y-2xy^3)4x^4y^4 is 4x^4y^4(6x^3-2xy^3-6y)