What is expand (x^8z+z^2+1)dx ?

The solution to expand (x^8z+z^2+1)dx is x^8zdx+z^2dx+dx

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expand (x^8z+z^2+1)dx

expand

(x^{8} z + z^{2} + 1) d x

x^{8} z d x + z^{2} d x + d x

Solution steps

(x^{8} z + z^{2} + 1) d x

Distribute parentheses

= d x x^{8} z + d x z^{2} + d x \cdot 1

= x^{8} z d x + z^{2} d x + 1 \cdot d x

Multiply:

1 \cdot d x = d x

= x^{8} z d x + z^{2} d x + d x

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What is expand (x^8z+z^2+1)dx ?
The solution to expand (x^8z+z^2+1)dx is x^8zdx+z^2dx+dx