What is 2x^2y^2(4xyz-5x^3y^4z^2) ?

The solution to 2x^2y^2(4xyz-5x^3y^4z^2) is 2x^2y^2(-5x^3y^4z^2+4xyz)

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simplify 2x^2y^2(4xyz-5x^3y^4z^2)

simplify

2 x^{2} y^{2} (4 x yz - 5 x^{3} y^{4} z^{2})

2 x^{2} y^{2} (- 5 x^{3} y^{4} z^{2} + 4 x yz)

Solution steps

2 x^{2} y^{2} (4 x yz - 5 x^{3} y^{4} 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 (x y)^{2} (- 5 x^{3} y^{4} z^{2} + 4 x yz)

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

= 2 x^{2} y^{2} (- 5 x^{3} y^{4} z^{2} + 4 x yz)

666

(32 - 14)^{2}

x^{x}

\frac{- 26}{2}

What is 2x^2y^2(4xyz-5x^3y^4z^2) ?
The solution to 2x^2y^2(4xyz-5x^3y^4z^2) is 2x^2y^2(-5x^3y^4z^2+4xyz)