What is simplify-3x^2y^2z^2(-2x^5y^5z^5-x^6y^6z^6) ?

The solution to simplify-3x^2y^2z^2(-2x^5y^5z^5-x^6y^6z^6) is -3x^2y^2z^2(-x^6y^6z^6-2x^5y^5z^5)

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simplify-3x^2y^2z^2(-2x^5y^5z^5-x^6y^6z^6)

simplify

- 3 x^{2} y^{2} z^{2} (- 2 x^{5} y^{5} z^{5} - x^{6} y^{6} z^{6})

- 3 x^{2} y^{2} z^{2} (- x^{6} y^{6} z^{6} - 2 x^{5} y^{5} z^{5})

Solution steps

- 3 x^{2} y^{2} z^{2} (- 2 x^{5} y^{5} z^{5} - x^{6} y^{6} z^{6})

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

x^{2} y^{2} z^{2} = (x yz)^{2}

= - 3 (x yz)^{2} (- x^{6} y^{6} z^{6} - 2 x^{5} y^{5} z^{5})

(x yz)^{2} = x^{2} y^{2} z^{2}

= - 3 x^{2} y^{2} z^{2} (- x^{6} y^{6} z^{6} - 2 x^{5} y^{5} z^{5})

\frac{x}{x + 1}

(k + 1)^{2} (k + 2)^{2}

e^{- ∣ x ∣}

e^{- x} sin (x)

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

What is simplify-3x^2y^2z^2(-2x^5y^5z^5-x^6y^6z^6) ?
The solution to simplify-3x^2y^2z^2(-2x^5y^5z^5-x^6y^6z^6) is -3x^2y^2z^2(-x^6y^6z^6-2x^5y^5z^5)