What is simplify-2x^2y^2z^3(xy^2z+7x^2yz^3-x^2yz^2) ?

The solution to simplify-2x^2y^2z^3(xy^2z+7x^2yz^3-x^2yz^2) is -2x^2y^2z^3(7x^2yz^3-x^2yz^2+xy^2z)

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simplify-2x^2y^2z^3(xy^2z+7x^2yz^3-x^2yz^2)

simplify

- 2 x^{2} y^{2} z^{3} (x y^{2} z + 7 x^{2} y z^{3} - x^{2} y z^{2})

- 2 x^{2} y^{2} z^{3} (7 x^{2} y z^{3} - x^{2} y z^{2} + x y^{2} z)

Solution steps

- 2 x^{2} y^{2} z^{3} (x y^{2} z + 7 x^{2} y z^{3} - x^{2} y z^{2})

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

= - 2 z^{3} (x y)^{2} (7 x^{2} y z^{3} - x^{2} y z^{2} + x y^{2} z)

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

= - 2 x^{2} y^{2} z^{3} (7 x^{2} y z^{3} - x^{2} y z^{2} + x y^{2} z)

4 e^{- \frac{( 1 )}{3}}

(e^{\frac{t}{2}})^{2}

e^{- x^{2}} sin (x)

(30)^{2}

What is simplify-2x^2y^2z^3(xy^2z+7x^2yz^3-x^2yz^2) ?
The solution to simplify-2x^2y^2z^3(xy^2z+7x^2yz^3-x^2yz^2) is -2x^2y^2z^3(7x^2yz^3-x^2yz^2+xy^2z)