Question

{ ( - 2 ) ^ { 4 } x ^ { 2 } z ^ { 3 } y + 2 ^ { 4 } z ^ { 2 } x ^ { 4 } - 4 z ^ { 4 } y ^ { 4 } } \div 2 z ^ { 2 }​

Answer 1

$Answer:$ $x^2 + x^4 + (-4z^2) z^3 + -z^2$

Step-by-step explanation:

 $[( - 2 y ^ { 4 }) + x ^ { 2 } +z ^ { 3 }] + [2y ^ { 4 } +z ^ { 2 }+ x ^ { 4 }] - [4z^4+y^4+2z^2]$

(Making everything positive)

$= [(-2y^4)*x^2*z^3] + [2y^4*z^2*x^4] + [(-4z^4)*(-y^4)*(-2z^2)]$

(Finding Like Terms)

$= [(-2y^4) + 2y^4 + -y^4] + [x^2] + [x^4] + [(-4z^2)] + [z^3] + [z^2 + -2z^2]$

(Adding Like Terms)

$= [0] + [x^2] + [x^4] + [(-4z^2)] + [z^3] + [-z^2]\\\\= x^2 + x^4 + (-4z^2) + z^3 + z^2$

Hope this assists you. Please mark me as Brainliest. I am typing this question from like 15 mins.