What is 3x^2z^2(2x^2z-3x^3z+4x^4z^2) ?

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

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simplify 3x^2z^2(2x^2z-3x^3z+4x^4z^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

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

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

e^{- 2 x} (1 + e^{4 x})

\frac{16}{625}

800 e^{- 45}

e^{- 2.05}

- (- 8)^{2}

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