What is (8xz^2)(4bz-8xy^2-8az+8xz+2y+2xyz)^2 ?

The solution to (8xz^2)(4bz-8xy^2-8az+8xz+2y+2xyz)^2 is 8xz^2(4bz+8xz+2xzy-8az+2y-8xy^2)^2

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simplify (8xz^2)(4bz-8xy^2-8az+8xz+2y+2xyz)^2

simplify

(8 x z^{2}) (4 b z - 8 x y^{2} - 8 a z + 8 x z + 2 y + 2 x yz)^{2}

8 x z^{2} (4 b z + 8 x z + 2 x zy - 8 a z + 2 y - 8 x y^{2})^{2}

Solution steps

(8 x z^{2}) (4 b z - 8 x y^{2} - 8 a z + 8 x z + 2 y + 2 x yz)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

z^{2} (4 b z + 8 x z + 2 x zy - 8 a z + 2 y - 8 x y^{2})^{2} = (z (4 b z + 8 x z + 2 x zy - 8 a z + 2 y - 8 x y^{2}))^{2}

= 8 x (z (4 b z + 8 x z + 2 x zy - 8 a z + 2 y - 8 x y^{2}))^{2}

(z (4 b z - 8 x y^{2} - 8 a z + 8 x z + 2 y + 2 x yz))^{2} = z^{2} (4 b z - 8 x y^{2} - 8 a z + 8 x z + 2 y + 2 x zy)^{2}

= 8 x z^{2} (4 b z + 8 x z + 2 x zy - 8 a z + 2 y - 8 x y^{2})^{2}

(e^{- 2 x}) (\frac{1}{2} e^{x})

(\frac{20736}{24}) e^{- 12}

(\frac{( 4 ^{1} ) ^{- 1}}{1 6 ^{2}})^{- 6}

e^{- \frac{1}{2} \cdot 1}

0^{2} \cdot e^{- 0}

What is (8xz^2)(4bz-8xy^2-8az+8xz+2y+2xyz)^2 ?
The solution to (8xz^2)(4bz-8xy^2-8az+8xz+2y+2xyz)^2 is 8xz^2(4bz+8xz+2xzy-8az+2y-8xy^2)^2